82718496 has 240 divisors, whose sum is σ = 286868736. Its totient is φ = 22892544.

The previous prime is 82718477. The next prime is 82718507. The reversal of 82718496 is 69481728.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 852720 + ... + 852816.

Almost surely, 2^82718496 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 82718496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143434368).

82718496 is an abundant number, since it is smaller than the sum of its proper divisors (204150240).

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

82718496 is a wasteful number, since it uses less digits than its factorization.

82718496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 82718496 is about 9094.9709180404. The cubic root of 82718496 is about 435.7133598373.

The spelling of 82718496 in words is "eighty-two million, seven hundred eighteen thousand, four hundred ninety-six".