56954880 has 208 divisors, whose sum is σ = 204447360. Its totient is φ = 15040512.

The previous prime is 56954861. The next prime is 56954903. The reversal of 56954880 is 8845965.

56954880 is a `hidden beast` number, since 569 + 5 + 4 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552909 + ... + 553011.

It is an arithmetic number, because the mean of its divisors is an integer number (982920).

Almost surely, 2^56954880 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 56954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102223680).

56954880 is an abundant number, since it is smaller than the sum of its proper divisors (147492480).

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

56954880 is a wasteful number, since it uses less digits than its factorization.

56954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 56954880 is about 7546.8456987009. The cubic root of 56954880 is about 384.7485399061.

The spelling of 56954880 in words is "fifty-six million, nine hundred fifty-four thousand, eight hundred eighty".