82540980 has 72 divisors (see below), whose sum is σ = 252252000. Its totient is φ = 21845952.

The previous prime is 82540973. The next prime is 82541029. The reversal of 82540980 is 8904528.

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

It is a congruent number.

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, 23371 + ... + 26669.

It is an arithmetic number, because the mean of its divisors is an integer number (3503500).

Almost surely, 2^82540980 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 82540980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126126000).

82540980 is an abundant number, since it is smaller than the sum of its proper divisors (169711020).

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

82540980 is a wasteful number, since it uses less digits than its factorization.

82540980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 82540980 is about 9085.2066569781. The cubic root of 82540980 is about 435.4014526199.

The spelling of 82540980 in words is "eighty-two million, five hundred forty thousand, nine hundred eighty".