57964536 has 96 divisors (see below), whose sum is σ = 183306240. Its totient is φ = 16202304.

The previous prime is 57964523. The next prime is 57964541. The reversal of 57964536 is 63546975.

57964536 is a `hidden beast` number, since 57 + 9 + 64 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57964491 and 57964500.

It is a congruent number.

It is an unprimeable number.

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, 22465 + ... + 24911.

It is an arithmetic number, because the mean of its divisors is an integer number (1909440).

Almost surely, 2^57964536 is an apocalyptic number.

57964536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57964536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91653120).

57964536 is an abundant number, since it is smaller than the sum of its proper divisors (125341704).

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

57964536 is a wasteful number, since it uses less digits than its factorization.

57964536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2506 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 57964536 is about 7613.4444241749. Note that the first 4 decimals coincide. The cubic root of 57964536 is about 387.0087532824.

The spelling of 57964536 in words is "fifty-seven million, nine hundred sixty-four thousand, five hundred thirty-six".