82520520 has 64 divisors (see below), whose sum is σ = 248512320. Its totient is φ = 21921024.

The previous prime is 82520513. The next prime is 82520539. The reversal of 82520520 is 2502528.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33987 + ... + 36333.

It is an arithmetic number, because the mean of its divisors is an integer number (3883005).

Almost surely, 2^82520520 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 82520520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124256160).

82520520 is an abundant number, since it is smaller than the sum of its proper divisors (165991800).

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

82520520 is a wasteful number, since it uses less digits than its factorization.

82520520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 82520520 is about 9084.0805808843. The cubic root of 82520520 is about 435.3654743302.

The spelling of 82520520 in words is "eighty-two million, five hundred twenty thousand, five hundred twenty".