56677949 has 16 divisors (see below), whose sum is σ = 61916400. Its totient is φ = 51671040.

The previous prime is 56677927. The next prime is 56677987. The reversal of 56677949 is 94977665.

56677949 = T₁ + T₂ + ... + T₆₉₇.

56677949 is a nontrivial binomial coefficient, being equal to C(699, 3).

It can be written as a sum of positive squares in 8 ways, for example, as 1651225 + 55026724 = 1285^2 + 7418^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-56677949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56677949.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56677909) by changing a digit.

It is the 697-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162227 + ... + 162575.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775).

Almost surely, 2^56677949 is an apocalyptic number.

It is an amenable number.

56677949 is a deficient number, since it is larger than the sum of its proper divisors (5238451).

56677949 is a wasteful number, since it uses less digits than its factorization.

56677949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640.

The product of its digits is 2857680, while the sum is 53.

The square root of 56677949 is about 7528.4758749696. The cubic root of 56677949 is about 384.1239404793.

The spelling of 56677949 in words is "fifty-six million, six hundred seventy-seven thousand, nine hundred forty-nine".