57135640 has 64 divisors (see below), whose sum is σ = 138101760. Its totient is φ = 21196800.

The previous prime is 57135629. The next prime is 57135677. The reversal of 57135640 is 4653175.

57135640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 49065 + ... + 50215.

It is an arithmetic number, because the mean of its divisors is an integer number (2157840).

Almost surely, 2^57135640 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 57135640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69050880).

57135640 is an abundant number, since it is smaller than the sum of its proper divisors (80966120).

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

57135640 is a wasteful number, since it uses less digits than its factorization.

57135640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 57135640 is about 7558.8120759813. The cubic root of 57135640 is about 385.1551407140.

It can be divided in two parts, 57135 and 640, that added together give a palindrome (57775).

The spelling of 57135640 in words is "fifty-seven million, one hundred thirty-five thousand, six hundred forty".