56862960 has 320 divisors, whose sum is σ = 233985024. Its totient is φ = 11059200.

The previous prime is 56862947. The next prime is 56862983. The reversal of 56862960 is 6926865.

56862960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314070 + ... + 314250.

Almost surely, 2^56862960 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 56862960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

56862960 is an abundant number, since it is smaller than the sum of its proper divisors (177122064).

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

56862960 is a wasteful number, since it uses less digits than its factorization.

56862960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 56862960 is about 7540.7532780220. The cubic root of 56862960 is about 384.5414453969.

It can be divided in two parts, 5686 and 2960, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 56862960 in words is "fifty-six million, eight hundred sixty-two thousand, nine hundred sixty".