57535616 has 64 divisors (see below), whose sum is σ = 122883480. Its totient is φ = 26738688.

The previous prime is 57535613. The next prime is 57535637. The reversal of 57535616 is 61653575.

57535616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51265600 + 6270016 = 7160^2 + 2504^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 57535616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57535613) by changing a digit.

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, 298016 + ... + 298208.

Almost surely, 2^57535616 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 57535616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61441740).

57535616 is an abundant number, since it is smaller than the sum of its proper divisors (65347864).

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

57535616 is a wasteful number, since it uses less digits than its factorization.

57535616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its digits is 94500, while the sum is 38.

The square root of 57535616 is about 7585.2235299957. The cubic root of 57535616 is about 386.0518065180.

The spelling of 57535616 in words is "fifty-seven million, five hundred thirty-five thousand, six hundred sixteen".