97666632 has 96 divisors (see below), whose sum is σ = 320112000. Its totient is φ = 26260992.

The previous prime is 97666601. The next prime is 97666703. The reversal of 97666632 is 23666679.

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

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2869 + ... + 14267.

It is an arithmetic number, because the mean of its divisors is an integer number (3334500).

Almost surely, 2^97666632 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 97666632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160056000).

97666632 is an abundant number, since it is smaller than the sum of its proper divisors (222445368).

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

97666632 is a wasteful number, since it uses less digits than its factorization.

97666632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11435 (or 11428 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 97666632 is about 9882.6429663324. The cubic root of 97666632 is about 460.5202557342.

The spelling of 97666632 in words is "ninety-seven million, six hundred sixty-six thousand, six hundred thirty-two".