82057536 has 140 divisors (see below), whose sum is σ = 265541760. Its totient is φ = 24848640.

The previous prime is 82057529. The next prime is 82057541. The reversal of 82057536 is 63575028.

82057536 is a `hidden beast` number, since 82 + 0 + 575 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82057536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56305 + ... + 57743.

Almost surely, 2^82057536 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 82057536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132770880).

82057536 is an abundant number, since it is smaller than the sum of its proper divisors (183484224).

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

82057536 is a wasteful number, since it uses less digits than its factorization.

82057536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 82057536 is about 9058.5614752012. The cubic root of 82057536 is about 434.5497362380.

The spelling of 82057536 in words is "eighty-two million, fifty-seven thousand, five hundred thirty-six".