56611665 has 72 divisors (see below), whose sum is σ = 111167784. Its totient is φ = 26611200.

The previous prime is 56611663. The next prime is 56611679.

56611665 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 20142144 + 36469521 = 4488^2 + 6039^2 .

It is not a de Polignac number, because 56611665 - 2¹ = 56611663 is a prime.

It is a super-2 number, since 2×56611665² = 6409761228144450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (56611663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201325 + ... + 201605.

It is an arithmetic number, because the mean of its divisors is an integer number (1543997).

Almost surely, 2^56611665 is an apocalyptic number.

56611665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56611665 is a deficient number, since it is larger than the sum of its proper divisors (54556119).

56611665 is a wasteful number, since it uses less digits than its factorization.

56611665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 56611665 is about 7524.0723680730. The cubic root of 56611665 is about 383.9741396973.

The spelling of 56611665 in words is "fifty-six million, six hundred eleven thousand, six hundred sixty-five".