880264 has 32 divisors (see below), whose sum is σ = 2059200. Its totient is φ = 342720.

The previous prime is 880259. The next prime is 880283. The reversal of 880264 is 462088.

880264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

880264 is a modest number, since divided by 264 gives 88 as remainder.

It is a congruent number.

It is an unprimeable number.

880264 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 7 ways as a sum of consecutive naturals, for example, 99 + ... + 1330.

It is an arithmetic number, because the mean of its divisors is an integer number (64350).

2⁸⁸⁰²⁶⁴ 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 880264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029600).

880264 is an abundant number, since it is smaller than the sum of its proper divisors (1178936).

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

880264 is a wasteful number, since it uses less digits than its factorization.

880264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 880264 is about 938.2238538856. The cubic root of 880264 is about 95.8379790228.

The spelling of 880264 in words is "eight hundred eighty thousand, two hundred sixty-four".