56754 has 16 divisors (see below), whose sum is σ = 126240. Its totient is φ = 18900.

The previous prime is 56747. The next prime is 56767. The reversal of 56754 is 45765.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472 + ... + 579.

It is an arithmetic number, because the mean of its divisors is an integer number (7890).

2⁵⁶⁷⁵⁴ is an apocalyptic number.

56754 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

56754 is an abundant number, since it is smaller than the sum of its proper divisors (69486).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63120).

56754 is a wasteful number, since it uses less digits than its factorization.

56754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1056 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 56754 is about 238.2309803531. The cubic root of 56754 is about 38.4295670720.

It can be divided in two parts, 56 and 754, that multiplied together give a palindrome (42224).

The spelling of 56754 in words is "fifty-six thousand, seven hundred fifty-four".