82526208 has 120 divisors (see below), whose sum is σ = 232776768. Its totient is φ = 25952256.

The previous prime is 82526173. The next prime is 82526233. The reversal of 82526208 is 80262528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1130460 + ... + 1130532.

Almost surely, 2^82526208 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 82526208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116388384).

82526208 is an abundant number, since it is smaller than the sum of its proper divisors (150250560).

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

82526208 is an equidigital number, since it uses as much as digits as its factorization.

82526208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 82526208 is about 9084.3936506516. The cubic root of 82526208 is about 435.3754771025.

The spelling of 82526208 in words is "eighty-two million, five hundred twenty-six thousand, two hundred eight".