57057940 has 36 divisors (see below), whose sum is σ = 125281044. Its totient is φ = 21826816.

The previous prime is 57057929. The next prime is 57057977. The reversal of 57057940 is 4975075.

It can be written as a sum of positive squares in 2 ways, for example, as 40297104 + 16760836 = 6348^2 + 4094^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 57057940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7884 + ... + 13276.

It is an arithmetic number, because the mean of its divisors is an integer number (3480029).

Almost surely, 2^57057940 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 57057940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62640522).

57057940 is an abundant number, since it is smaller than the sum of its proper divisors (68223104).

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

57057940 is a wasteful number, since it uses less digits than its factorization.

57057940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 57057940 is about 7553.6706308920. The cubic root of 57057940 is about 384.9804678909.

Subtracting from 57057940 its sum of digits (37), we obtain a triangular number (57057903 = T₁₀₆₈₂).

The spelling of 57057940 in words is "fifty-seven million, fifty-seven thousand, nine hundred forty".