56364 has 48 divisors (see below), whose sum is σ = 166656. Its totient is φ = 14400.

The previous prime is 56359. The next prime is 56369. The reversal of 56364 is 46365.

56364 = T₂₇ + T₂₈ + ... + T₇₀.

56364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56359) and next prime (56369).

It is a d-powerful number, because it can be written as 5⁵ + 6 + 3⁸ + 6⁶ + 4² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 894 + ... + 954.

It is an arithmetic number, because the mean of its divisors is an integer number (3472).

2⁵⁶³⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83328).

56364 is an abundant number, since it is smaller than the sum of its proper divisors (110292).

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

56364 is a wasteful number, since it uses less digits than its factorization.

56364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 84 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 56364 is about 237.4110359693. The cubic root of 56364 is about 38.3413383828.

Subtracting from 56364 its reverse (46365), we obtain a palindrome (9999).

The spelling of 56364 in words is "fifty-six thousand, three hundred sixty-four".