57724020 has 144 divisors (see below), whose sum is σ = 186181632. Its totient is φ = 14446080.

The previous prime is 57724019. The next prime is 57724031. The reversal of 57724020 is 2042775.

57724020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302125 + ... + 302315.

It is an arithmetic number, because the mean of its divisors is an integer number (1292928).

Almost surely, 2^57724020 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 57724020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93090816).

57724020 is an abundant number, since it is smaller than the sum of its proper divisors (128457612).

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

57724020 is a wasteful number, since it uses less digits than its factorization.

57724020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 57724020 is about 7597.6325259912. The cubic root of 57724020 is about 386.4727310592.

Adding to 57724020 its reverse (2042775), we get a palindrome (59766795).

The spelling of 57724020 in words is "fifty-seven million, seven hundred twenty-four thousand, twenty".