880992 has 144 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 228096.

The previous prime is 880981. The next prime is 880993. The reversal of 880992 is 299088.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×880992² = 1552293808128, which contains 22 as substring.

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

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 880992.

It is not an unprimeable number, because it can be changed into a prime (880993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38293 + ... + 38315.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2⁸⁸⁰⁹⁹² 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 880992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

880992 is an abundant number, since it is smaller than the sum of its proper divisors (2263968).

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

880992 is a wasteful number, since it uses less digits than its factorization.

880992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 880992 is about 938.6117408173. The cubic root of 880992 is about 95.8643918656.

The spelling of 880992 in words is "eight hundred eighty thousand, nine hundred ninety-two".