56307960 has 112 divisors (see below), whose sum is σ = 190050840. Its totient is φ = 15007680.

The previous prime is 56307877. The next prime is 56307967. The reversal of 56307960 is 6970365.

It is a happy number.

56307960 is a `hidden beast` number, since 563 + 0 + 7 + 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 (56307967) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28195 + ... + 30125.

Almost surely, 2^56307960 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 56307960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95025420).

56307960 is an abundant number, since it is smaller than the sum of its proper divisors (133742880).

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

56307960 is a wasteful number, since it uses less digits than its factorization.

56307960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1941 counting only the distinct ones).

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

The square root of 56307960 is about 7503.8630051461. The cubic root of 56307960 is about 383.2862718953.

The spelling of 56307960 in words is "fifty-six million, three hundred seven thousand, nine hundred sixty".