56730960 has 480 divisors, whose sum is σ = 243734400. Its totient is φ = 11612160.

The previous prime is 56730959. The next prime is 56730967. The reversal of 56730960 is 6903765.

It is a happy number.

56730960 is a `hidden beast` number, since 567 + 3 + 0 + 96 + 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 not an unprimeable number, because it can be changed into a prime (56730967) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1956226 + ... + 1956254.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^56730960 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 56730960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

56730960 is an abundant number, since it is smaller than the sum of its proper divisors (187003440).

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

56730960 is a wasteful number, since it uses less digits than its factorization.

56730960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 56730960 is about 7531.9957514592. The cubic root of 56730960 is about 384.2436604610.

The spelling of 56730960 in words is "fifty-six million, seven hundred thirty thousand, nine hundred sixty".