56963520 has 224 divisors, whose sum is σ = 212140800. Its totient is φ = 14349312.

The previous prime is 56963507. The next prime is 56963527. The reversal of 56963520 is 2536965.

It is a super-2 number, since 2×56963520² = 6489685221580800, which contains 22 as substring.

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 (56963527) 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 31 ways as a sum of consecutive naturals, for example, 163987 + ... + 164333.

Almost surely, 2^56963520 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 56963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106070400).

56963520 is an abundant number, since it is smaller than the sum of its proper divisors (155177280).

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

56963520 is a wasteful number, since it uses less digits than its factorization.

56963520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 56963520 is about 7547.4181015762. The cubic root of 56963520 is about 384.7679942490.

It can be divided in two parts, 5696 and 3520, that added together give a square (9216 = 96²).

The spelling of 56963520 in words is "fifty-six million, nine hundred sixty-three thousand, five hundred twenty".