82804920 has 64 divisors (see below), whose sum is σ = 271002240. Its totient is φ = 20073600.

The previous prime is 82804903. The next prime is 82804933. The reversal of 82804920 is 2940828.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30046 + ... + 32685.

It is an arithmetic number, because the mean of its divisors is an integer number (4234410).

Almost surely, 2^82804920 is an apocalyptic number.

It is an amenable number.

82804920 is an abundant number, since it is smaller than the sum of its proper divisors (188197320).

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

82804920 is a wasteful number, since it uses less digits than its factorization.

82804920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62756 (or 62752 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 82804920 is about 9099.7208748401. The cubic root of 82804920 is about 435.8650509605.

The spelling of 82804920 in words is "eighty-two million, eight hundred four thousand, nine hundred twenty".