56864 has 12 divisors (see below), whose sum is σ = 112014. Its totient is φ = 28416.

The previous prime is 56857. The next prime is 56873. The reversal of 56864 is 46865.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 8464 = 220^2 + 92^2 .

It is a congruent number.

It is an unprimeable number.

56864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 857 + ... + 920.

2⁵⁶⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

56864 is a deficient number, since it is larger than the sum of its proper divisors (55150).

56864 is a wasteful number, since it uses less digits than its factorization.

56864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1779 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 56864 is about 238.4617369726. The cubic root of 56864 is about 38.4543789751.

Subtracting from 56864 its reverse (46865), we obtain a palindrome (9999).

It can be divided in two parts, 56 and 864, that multiplied together give a palindrome (48384).

The spelling of 56864 in words is "fifty-six thousand, eight hundred sixty-four".