56642760 has 128 divisors (see below), whose sum is σ = 190512000. Its totient is φ = 14969088.

The previous prime is 56642753. The next prime is 56642777. The reversal of 56642760 is 6724665.

56642760 is a `hidden beast` number, since 5 + 6 + 642 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193174 + ... + 193466.

It is an arithmetic number, because the mean of its divisors is an integer number (1488375).

Almost surely, 2^56642760 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 56642760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256000).

56642760 is an abundant number, since it is smaller than the sum of its proper divisors (133869240).

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

56642760 is a wasteful number, since it uses less digits than its factorization.

56642760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 56642760 is about 7526.1384520882. The cubic root of 56642760 is about 384.0444284532.

The spelling of 56642760 in words is "fifty-six million, six hundred forty-two thousand, seven hundred sixty".