82636320 has 384 divisors, whose sum is σ = 320060160. Its totient is φ = 17694720.

The previous prime is 82636319. The next prime is 82636327. The reversal of 82636320 is 2363628.

82636320 = 451² + 452² + ... + 697².

It is a super-2 number, since 2×82636320² = 13657522766284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82636327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2015500 + ... + 2015540.

It is an arithmetic number, because the mean of its divisors is an integer number (833490).

Almost surely, 2^82636320 is an apocalyptic number.

82636320 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 82636320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030080).

82636320 is an abundant number, since it is smaller than the sum of its proper divisors (237423840).

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

82636320 is a wasteful number, since it uses less digits than its factorization.

82636320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 82636320 is about 9090.4521339700. The cubic root of 82636320 is about 435.5690267634.

Adding to 82636320 its reverse (2363628), we get a palindrome (84999948).

The spelling of 82636320 in words is "eighty-two million, six hundred thirty-six thousand, three hundred twenty".