82138624 has 40 divisors (see below), whose sum is σ = 165455928. Its totient is φ = 40734720.

The previous prime is 82138619. The next prime is 82138627. The reversal of 82138624 is 42683128.

It is a super-2 number, since 2×82138624² = 13493507105226752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82138624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82138627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69559 + ... + 70729.

Almost surely, 2^82138624 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 82138624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82727964).

82138624 is an abundant number, since it is smaller than the sum of its proper divisors (83317304).

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

82138624 is a wasteful number, since it uses less digits than its factorization.

82138624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1310 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 82138624 is about 9063.0361358653. The cubic root of 82138624 is about 434.6928275789.

The spelling of 82138624 in words is "eighty-two million, one hundred thirty-eight thousand, six hundred twenty-four".