992256 has 88 divisors (see below), whose sum is σ = 2947680. Its totient is φ = 294912.

The previous prime is 992249. The next prime is 992263. The reversal of 992256 is 652299.

992256 = T₃₂₃ + T₃₂₄ + ... + T₃₄₀.

It is an interprime number because it is at equal distance from previous prime (992249) and next prime (992263).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 992256.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52215 + ... + 52233.

992256 is a Friedman number, since it can be written as 969*(2+2)^5, using all its digits and the basic arithmetic operations.

2⁹⁹²²⁵⁶ is an apocalyptic number.

992256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473840).

992256 is an abundant number, since it is smaller than the sum of its proper divisors (1955424).

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

992256 is a wasteful number, since it uses less digits than its factorization.

992256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 41 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 992256 is about 996.1204746415. The cubic root of 992256 is about 99.7411974569.

The spelling of 992256 in words is "nine hundred ninety-two thousand, two hundred fifty-six".