56611641 has 16 divisors (see below), whose sum is σ = 77395968. Its totient is φ = 36790800.

The previous prime is 56611627. The next prime is 56611651. The reversal of 56611641 is 14611665.

It is not a de Polignac number, because 56611641 - 2¹⁴ = 56595257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56611599 and 56611608.

It is not an unprimeable number, because it can be changed into a prime (56611651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43206 + ... + 44496.

It is an arithmetic number, because the mean of its divisors is an integer number (4837248).

Almost surely, 2^56611641 is an apocalyptic number.

It is an amenable number.

56611641 is a deficient number, since it is larger than the sum of its proper divisors (20784327).

56611641 is a wasteful number, since it uses less digits than its factorization.

56611641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652.

The product of its digits is 4320, while the sum is 30.

The square root of 56611641 is about 7524.0707731919. The cubic root of 56611641 is about 383.9740854365.

The spelling of 56611641 in words is "fifty-six million, six hundred eleven thousand, six hundred forty-one".