82688832 has 84 divisors (see below), whose sum is σ = 239824260. Its totient is φ = 27236352.

The previous prime is 82688807. The next prime is 82688843. The reversal of 82688832 is 23888628.

It can be written as a sum of positive squares in 2 ways, for example, as 32901696 + 49787136 = 5736^2 + 7056^2 .

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50458 + ... + 52070.

Almost surely, 2^82688832 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 82688832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119912130).

82688832 is an abundant number, since it is smaller than the sum of its proper divisors (157135428).

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

82688832 is a wasteful number, since it uses less digits than its factorization.

82688832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1707 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 82688832 is about 9093.3399804472. The cubic root of 82688832 is about 435.6612693252.

The spelling of 82688832 in words is "eighty-two million, six hundred eighty-eight thousand, eight hundred thirty-two".