82006904 has 64 divisors (see below), whose sum is σ = 183644160. Its totient is φ = 33592320.

The previous prime is 82006879. The next prime is 82006919. The reversal of 82006904 is 40960028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168149 + ... + 168635.

It is an arithmetic number, because the mean of its divisors is an integer number (2869440).

Almost surely, 2^82006904 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 82006904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91822080).

82006904 is an abundant number, since it is smaller than the sum of its proper divisors (101637256).

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

82006904 is a wasteful number, since it uses less digits than its factorization.

82006904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 82006904 is about 9055.7663397418. The cubic root of 82006904 is about 434.4603410396.

The spelling of 82006904 in words is "eighty-two million, six thousand, nine hundred four".