57593040 has 80 divisors (see below), whose sum is σ = 184321536. Its totient is φ = 14860800.

The previous prime is 57593023. The next prime is 57593099. The reversal of 57593040 is 4039575.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57592992 and 57593010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3570 + ... + 11310.

Almost surely, 2^57593040 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 57593040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92160768).

57593040 is an abundant number, since it is smaller than the sum of its proper divisors (126728496).

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

57593040 is a wasteful number, since it uses less digits than its factorization.

57593040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7788 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 57593040 is about 7589.0078402911. The cubic root of 57593040 is about 386.1801981089.

The spelling of 57593040 in words is "fifty-seven million, five hundred ninety-three thousand, forty".