9056880 has 160 divisors (see below), whose sum is σ = 35712000. Its totient is φ = 2066688.

The previous prime is 9056843. The next prime is 9056909. The reversal of 9056880 is 886509.

9056880 is a `hidden beast` number, since 90 + 568 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14821 + ... + 15419.

It is an arithmetic number, because the mean of its divisors is an integer number (223200).

Almost surely, 2^9056880 is an apocalyptic number.

9056880 is a gapful number since it is divisible by the number (90) 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 9056880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

9056880 is an abundant number, since it is smaller than the sum of its proper divisors (26655120).

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

9056880 is a wasteful number, since it uses less digits than its factorization.

9056880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9056880 is about 3009.4650687456. The cubic root of 9056880 is about 208.4456667078.

The spelling of 9056880 in words is "nine million, fifty-six thousand, eight hundred eighty".