82264320 has 216 divisors, whose sum is σ = 293833176. Its totient is φ = 21233664.

The previous prime is 82264267. The next prime is 82264333. The reversal of 82264320 is 2346228.

82264320 is a `hidden beast` number, since 8 + 226 + 432 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 68956416 = 3648^2 + 8304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426144 + ... + 426336.

Almost surely, 2^82264320 is an apocalyptic number.

82264320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146916588).

82264320 is an abundant number, since it is smaller than the sum of its proper divisors (211568856).

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

82264320 is a wasteful number, since it uses less digits than its factorization.

82264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 82264320 is about 9069.9680264045. The cubic root of 82264320 is about 434.9144500808.

The spelling of 82264320 in words is "eighty-two million, two hundred sixty-four thousand, three hundred twenty".