82856304 has 160 divisors (see below), whose sum is σ = 257126400. Its totient is φ = 25470720.

The previous prime is 82856299. The next prime is 82856339. The reversal of 82856304 is 40365828.

82856304 = 1887² + 1888² + ... + 1909².

It is a super-2 number, since 2×82856304² = 13730334225080832, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307882 + ... + 308150.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 2^82856304 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 82856304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

82856304 is an abundant number, since it is smaller than the sum of its proper divisors (174270096).

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

82856304 is a wasteful number, since it uses less digits than its factorization.

82856304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 82856304 is about 9102.5438202735. The cubic root of 82856304 is about 435.9551899632.

The spelling of 82856304 in words is "eighty-two million, eight hundred fifty-six thousand, three hundred four".