57024 has 70 divisors (see below), whose sum is σ = 184404. Its totient is φ = 17280.

The previous prime is 56999. The next prime is 57037. The reversal of 57024 is 42075.

It is a happy number.

57024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 56988 and 57006.

It is an unprimeable number.

57024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5179 + ... + 5189.

2⁵⁷⁰²⁴ is an apocalyptic number.

57024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

57024 is the 128-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92202).

57024 is an abundant number, since it is smaller than the sum of its proper divisors (127380).

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

57024 is a wasteful number, since it uses less digits than its factorization.

57024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 57024 is about 238.7969849056. The cubic root of 57024 is about 38.4904119599.

Adding to 57024 its reverse (42075), we get a palindrome (99099).

The spelling of 57024 in words is "fifty-seven thousand, twenty-four".