82038564 has 72 divisors (see below), whose sum is σ = 216216000. Its totient is φ = 26195904.

The previous prime is 82038553. The next prime is 82038613. The reversal of 82038564 is 46583028.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186657 + ... + 187095.

It is an arithmetic number, because the mean of its divisors is an integer number (3003000).

Almost surely, 2^82038564 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 82038564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108108000).

82038564 is an abundant number, since it is smaller than the sum of its proper divisors (134177436).

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

82038564 is a wasteful number, since it uses less digits than its factorization.

82038564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 82038564 is about 9057.5142285287. The cubic root of 82038564 is about 434.5162438315.

The spelling of 82038564 in words is "eighty-two million, thirty-eight thousand, five hundred sixty-four".