57354640 has 160 divisors (see below), whose sum is σ = 163846656. Its totient is φ = 18247680.

The previous prime is 57354611. The next prime is 57354641. The reversal of 57354640 is 4645375.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 57354596 and 57354605.

It is not an unprimeable number, because it can be changed into a prime (57354641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785644 + ... + 785716.

Almost surely, 2^57354640 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 57354640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81923328).

57354640 is an abundant number, since it is smaller than the sum of its proper divisors (106492016).

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

57354640 is a wasteful number, since it uses less digits than its factorization.

57354640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 57354640 is about 7573.2846242565. The cubic root of 57354640 is about 385.6466111592.

The spelling of 57354640 in words is "fifty-seven million, three hundred fifty-four thousand, six hundred forty".