57191040 has 96 divisors (see below), whose sum is σ = 197507700. Its totient is φ = 15249408.

The previous prime is 57191039. The next prime is 57191051. The reversal of 57191040 is 4019175.

57191040 is a `hidden beast` number, since 571 + 91 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54287424 + 2903616 = 7368^2 + 1704^2 .

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 = 57190995 and 57191013.

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, 796 + ... + 10724.

Almost surely, 2^57191040 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 57191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98753850).

57191040 is an abundant number, since it is smaller than the sum of its proper divisors (140316660).

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

57191040 is a wasteful number, since it uses less digits than its factorization.

57191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9954 (or 9939 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 57191040 is about 7562.4757850852. The cubic root of 57191040 is about 385.2795855266.

The spelling of 57191040 in words is "fifty-seven million, one hundred ninety-one thousand, forty".