56958720 has 288 divisors, whose sum is σ = 225265152. Its totient is φ = 11943936.

The previous prime is 56958673. The next prime is 56958731. The reversal of 56958720 is 2785965.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 349359 + ... + 349521.

Almost surely, 2^56958720 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 56958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112632576).

56958720 is an abundant number, since it is smaller than the sum of its proper divisors (168306432).

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

56958720 is a wasteful number, since it uses less digits than its factorization.

56958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 56958720 is about 7547.1001053385. The cubic root of 56958720 is about 384.7571865236.

The spelling of 56958720 in words is "fifty-six million, nine hundred fifty-eight thousand, seven hundred twenty".