57506616 has 96 divisors (see below), whose sum is σ = 165734400. Its totient is φ = 17962560.

The previous prime is 57506611. The next prime is 57506671. The reversal of 57506616 is 61660575.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57506611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173571 + ... + 173901.

It is an arithmetic number, because the mean of its divisors is an integer number (1726400).

Almost surely, 2^57506616 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 57506616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82867200).

57506616 is an abundant number, since it is smaller than the sum of its proper divisors (108227784).

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

57506616 is a wasteful number, since it uses less digits than its factorization.

57506616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 57506616 is about 7583.3116776248. The cubic root of 57506616 is about 385.9869343300.

The spelling of 57506616 in words is "fifty-seven million, five hundred six thousand, six hundred sixteen".