983664 has 120 divisors (see below), whose sum is σ = 3249792. Its totient is φ = 285120.

The previous prime is 983659. The next prime is 983699. The reversal of 983664 is 466389.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 983664.

It is an unprimeable number.

983664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42757 + ... + 42779.

983664 is a Friedman number, since it can be written as 69*6^4*(8+3), using all its digits and the basic arithmetic operations.

2⁹⁸³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 983664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896).

983664 is an abundant number, since it is smaller than the sum of its proper divisors (2266128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

983664 is a wasteful number, since it uses less digits than its factorization.

983664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 39 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 983664 is about 991.7983666048. The cubic root of 983664 is about 99.4524742940.

The spelling of 983664 in words is "nine hundred eighty-three thousand, six hundred sixty-four".