880832160 has 288 divisors, whose sum is σ = 3266984448. Its totient is φ = 214824960.

The previous prime is 880832149. The next prime is 880832179. The reversal of 880832160 is 61238088.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 3949809 + ... + 3950031.

It is an arithmetic number, because the mean of its divisors is an integer number (11343696).

Almost surely, 2^880832160 is an apocalyptic number.

880832160 is a gapful number since it is divisible by the number (80) 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 880832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633492224).

880832160 is an abundant number, since it is smaller than the sum of its proper divisors (2386152288).

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

880832160 is a wasteful number, since it uses less digits than its factorization.

880832160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 880832160 is about 29678.8166880016. The cubic root of 880832160 is about 958.5859389721.

The spelling of 880832160 in words is "eight hundred eighty million, eight hundred thirty-two thousand, one hundred sixty".