82556820 has 72 divisors (see below), whose sum is σ = 259712544. Its totient is φ = 22013856.

The previous prime is 82556819. The next prime is 82556833. The reversal of 82556820 is 2865528.

82556820 is a `hidden beast` number, since 82 + 556 + 8 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3634 + ... + 13353.

Almost surely, 2^82556820 is an apocalyptic number.

It is an amenable number.

82556820 is an abundant number, since it is smaller than the sum of its proper divisors (177155724).

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

82556820 is a wasteful number, since it uses less digits than its factorization.

82556820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17011 (or 16997 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 82556820 is about 9086.0783619777. The cubic root of 82556820 is about 435.4293026967.

The spelling of 82556820 in words is "eighty-two million, five hundred fifty-six thousand, eight hundred twenty".