56675760 has 80 divisors (see below), whose sum is σ = 177417216. Its totient is φ = 14965504.

The previous prime is 56675753. The next prime is 56675767. The reversal of 56675760 is 6757665.

It is an interprime number because it is at equal distance from previous prime (56675753) and next prime (56675767).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (56675767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24577 + ... + 26783.

Almost surely, 2^56675760 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 56675760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88708608).

56675760 is an abundant number, since it is smaller than the sum of its proper divisors (120741456).

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

56675760 is a wasteful number, since it uses less digits than its factorization.

56675760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 56675760 is about 7528.3304922141. The cubic root of 56675760 is about 384.1189952396.

The spelling of 56675760 in words is "fifty-six million, six hundred seventy-five thousand, seven hundred sixty".