56647120 has 40 divisors (see below), whose sum is σ = 132498216. Its totient is φ = 22522368.

The previous prime is 56647103. The next prime is 56647133. The reversal of 56647120 is 2174665.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13927824 + 42719296 = 3732^2 + 6536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11794 + ... + 15886.

Almost surely, 2^56647120 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 56647120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66249108).

56647120 is an abundant number, since it is smaller than the sum of its proper divisors (75851096).

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

56647120 is a wasteful number, since it uses less digits than its factorization.

56647120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 56647120 is about 7526.4281036890. The cubic root of 56647120 is about 384.0542819676.

The spelling of 56647120 in words is "fifty-six million, six hundred forty-seven thousand, one hundred twenty".