57131040 has 96 divisors (see below), whose sum is σ = 184415616. Its totient is φ = 14858240.

The previous prime is 57131029. The next prime is 57131059. The reversal of 57131040 is 4013175.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 57130998 and 57131016.

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, 18229 + ... + 21131.

It is an arithmetic number, because the mean of its divisors is an integer number (1920996).

Almost surely, 2^57131040 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 57131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92207808).

57131040 is an abundant number, since it is smaller than the sum of its proper divisors (127284576).

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

57131040 is a wasteful number, since it uses less digits than its factorization.

57131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 57131040 is about 7558.5077892399. The cubic root of 57131040 is about 385.1448041348.

The spelling of 57131040 in words is "fifty-seven million, one hundred thirty-one thousand, forty".