82539720 has 96 divisors (see below), whose sum is σ = 270761400. Its totient is φ = 21805056.

The previous prime is 82539719. The next prime is 82539727. The reversal of 82539720 is 2793528.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67469796 + 15069924 = 8214^2 + 3882^2 .

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

It is not an unprimeable number, because it can be changed into a prime (82539727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39666 + ... + 41694.

Almost surely, 2^82539720 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 82539720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135380700).

82539720 is an abundant number, since it is smaller than the sum of its proper divisors (188221680).

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

82539720 is a wasteful number, since it uses less digits than its factorization.

82539720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 82539720 is about 9085.1373132166. The cubic root of 82539720 is about 435.3992371199.

The spelling of 82539720 in words is "eighty-two million, five hundred thirty-nine thousand, seven hundred twenty".