82524096 has 70 divisors (see below), whose sum is σ = 244642640. Its totient is φ = 27506304.

The previous prime is 82524083. The next prime is 82524119. The reversal of 82524096 is 69042528.

It is a happy number.

It is a super-3 number, since 3×82524096³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82524096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2776 + ... + 13143.

Almost surely, 2^82524096 is an apocalyptic number.

It is an amenable number.

82524096 is an abundant number, since it is smaller than the sum of its proper divisors (162118544).

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

82524096 is a wasteful number, since it uses less digits than its factorization.

82524096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15943 (or 15924 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 82524096 is about 9084.2774065965. The cubic root of 82524096 is about 435.3717630466.

The spelling of 82524096 in words is "eighty-two million, five hundred twenty-four thousand, ninety-six".