82645800 has 48 divisors (see below), whose sum is σ = 256203840. Its totient is φ = 22038720.

The previous prime is 82645793. The next prime is 82645811. The reversal of 82645800 is 854628.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68272 + ... + 69471.

It is an arithmetic number, because the mean of its divisors is an integer number (5337580).

Almost surely, 2^82645800 is an apocalyptic number.

It is an amenable number.

82645800 is an abundant number, since it is smaller than the sum of its proper divisors (173558040).

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

82645800 is a wasteful number, since it uses less digits than its factorization.

82645800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137762 (or 137753 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 82645800 is about 9090.9735452261. The cubic root of 82645800 is about 435.5856822182.

The spelling of 82645800 in words is "eighty-two million, six hundred forty-five thousand, eight hundred".