56749680 has 320 divisors, whose sum is σ = 219985920. Its totient is φ = 13353984.

The previous prime is 56749663. The next prime is 56749687. The reversal of 56749680 is 8694765.

56749680 = 403² + 404² + ... + 617².

56749680 is a `hidden beast` number, since 567 + 4 + 9 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56749687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1207417 + ... + 1207463.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 2^56749680 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 56749680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

56749680 is an abundant number, since it is smaller than the sum of its proper divisors (163236240).

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

56749680 is a wasteful number, since it uses less digits than its factorization.

56749680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 56749680 is about 7533.2383474838. The cubic root of 56749680 is about 384.2859198686.

The spelling of 56749680 in words is "fifty-six million, seven hundred forty-nine thousand, six hundred eighty".