56141064 has 72 divisors (see below), whose sum is σ = 176884110. Its totient is φ = 16039296.

The previous prime is 56141053. The next prime is 56141069. The reversal of 56141064 is 46014165.

56141064 is a `hidden beast` number, since 561 + 41 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40220964 + 15920100 = 6342^2 + 3990^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (56141069) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4429 + ... + 11484.

Almost surely, 2^56141064 is an apocalyptic number.

It is an amenable number.

56141064 is an abundant number, since it is smaller than the sum of its proper divisors (120743046).

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

56141064 is a wasteful number, since it uses less digits than its factorization.

56141064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15939 (or 15925 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56141064 is about 7492.7340804275. The cubic root of 56141064 is about 382.9072121026.

The spelling of 56141064 in words is "fifty-six million, one hundred forty-one thousand, sixty-four".