57636216 has 96 divisors (see below), whose sum is σ = 173225520. Its totient is φ = 17164800.

The previous prime is 57636203. The next prime is 57636217. The reversal of 57636216 is 61263675.

57636216 is a `hidden beast` number, since 5 + 7 + 636 + 2 + 16 = 666.

57636216 is a nontrivial binomial coefficient, being equal to C(10737, 2).

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 (57636217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47716 + ... + 48908.

Almost surely, 2^57636216 is an apocalyptic number.

57636216 is the 10736-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57636216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86612760).

57636216 is an abundant number, since it is smaller than the sum of its proper divisors (115589304).

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

57636216 is a wasteful number, since it uses less digits than its factorization.

57636216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1270 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 57636216 is about 7591.8519479769. The cubic root of 57636216 is about 386.2766770779.

The spelling of 57636216 in words is "fifty-seven million, six hundred thirty-six thousand, two hundred sixteen".