57040 has 40 divisors (see below), whose sum is σ = 142848. Its totient is φ = 21120.

The previous prime is 57037. The next prime is 57041. The reversal of 57040 is 4075.

57040 = T₂₅ + T₂₆ + ... + T₇₀.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1825 + ... + 1855.

2⁵⁷⁰⁴⁰ 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 57040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424).

57040 is an abundant number, since it is smaller than the sum of its proper divisors (85808).

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

57040 is a wasteful number, since it uses less digits than its factorization.

57040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 57040 is about 238.8304838165. The cubic root of 57040 is about 38.4940115496.

The spelling of 57040 in words is "fifty-seven thousand, forty".