880032 has 48 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 287232.

The previous prime is 880031. The next prime is 880043. The reversal of 880032 is 230088.

880032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 879990 and 880008.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 880032.

It is not an unprimeable number, because it can be changed into a prime (880031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8493 + ... + 8595.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2⁸⁸⁰⁰³² 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 880032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360).

880032 is an abundant number, since it is smaller than the sum of its proper divisors (1478688).

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

880032 is a wasteful number, since it uses less digits than its factorization.

880032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 880032 is about 938.1002078669. The cubic root of 880032 is about 95.8295586835.

The spelling of 880032 in words is "eight hundred eighty thousand, thirty-two".