82336320 has 336 divisors, whose sum is σ = 325233792. Its totient is φ = 18923520.

The previous prime is 82336313. The next prime is 82336337. The reversal of 82336320 is 2363328.

82336320 is a `hidden beast` number, since 8 + 2 + 336 + 320 = 666.

It is a super-2 number, since 2×82336320² = 13558539182284800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728584 + ... + 728696.

Almost surely, 2^82336320 is an apocalyptic number.

82336320 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 82336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162616896).

82336320 is an abundant number, since it is smaller than the sum of its proper divisors (242897472).

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

82336320 is a wasteful number, since it uses less digits than its factorization.

82336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 82336320 is about 9073.9363012972. The cubic root of 82336320 is about 435.0412961191.

Adding to 82336320 its reverse (2363328), we get a palindrome (84699648).

The spelling of 82336320 in words is "eighty-two million, three hundred thirty-six thousand, three hundred twenty".