57824 has 24 divisors (see below), whose sum is σ = 123480. Its totient is φ = 26496.

The previous prime is 57809. The next prime is 57829. The reversal of 57824 is 42875.

57824 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×57824² = 6687229952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 2 and base 5.

It is a junction number, because it is equal to n+sod(n) for n = 57793 and 57802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57829) by changing a digit.

57824 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 in 3 ways as a sum of consecutive naturals, for example, 347 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (5145).

2⁵⁷⁸²⁴ 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 57824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61740).

57824 is an abundant number, since it is smaller than the sum of its proper divisors (65656).

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

57824 is a wasteful number, since it uses less digits than its factorization.

57824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 57824 is about 240.4662138430. The cubic root of 57824 is about 38.6695730409.

The spelling of 57824 in words is "fifty-seven thousand, eight hundred twenty-four".