82304208 has 160 divisors (see below), whose sum is σ = 286053120. Its totient is φ = 22118400.

The previous prime is 82304161. The next prime is 82304227. The reversal of 82304208 is 80240328.

82304208 is a `hidden beast` number, since 8 + 230 + 420 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50608 + ... + 52208.

It is an arithmetic number, because the mean of its divisors is an integer number (1787832).

Almost surely, 2^82304208 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 82304208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143026560).

82304208 is an abundant number, since it is smaller than the sum of its proper divisors (203748912).

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

82304208 is a wasteful number, since it uses less digits than its factorization.

82304208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82304208 is about 9072.1666651357. The cubic root of 82304208 is about 434.9847319255.

The spelling of 82304208 in words is "eighty-two million, three hundred four thousand, two hundred eight".