57535040 has 56 divisors (see below), whose sum is σ = 144231360. Its totient is φ = 21800448.

The previous prime is 57534991. The next prime is 57535061. The reversal of 57535040 is 4053575.

57535040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57534994 and 57535012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1349 + ... + 10811.

It is an arithmetic number, because the mean of its divisors is an integer number (2575560).

Almost surely, 2^57535040 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 57535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72115680).

57535040 is an abundant number, since it is smaller than the sum of its proper divisors (86696320).

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

57535040 is a wasteful number, since it uses less digits than its factorization.

57535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9499 (or 9489 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 29.

The square root of 57535040 is about 7585.1855613426. The cubic root of 57535040 is about 386.0505182344.

The spelling of 57535040 in words is "fifty-seven million, five hundred thirty-five thousand, forty".