82336824 has 80 divisors (see below), whose sum is σ = 234512520. Its totient is φ = 26982720.

The previous prime is 82336819. The next prime is 82336901. The reversal of 82336824 is 42863328.

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

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 19 ways as a sum of consecutive naturals, for example, 38487 + ... + 40569.

Almost surely, 2^82336824 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 82336824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117256260).

82336824 is an abundant number, since it is smaller than the sum of its proper divisors (152175696).

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

82336824 is a wasteful number, since it uses less digits than its factorization.

82336824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2149 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 82336824 is about 9073.9640731050. The cubic root of 82336824 is about 435.0421837807.

The spelling of 82336824 in words is "eighty-two million, three hundred thirty-six thousand, eight hundred twenty-four".