82540432 has 40 divisors (see below), whose sum is σ = 173973240. Its totient is φ = 37708800.

The previous prime is 82540391. The next prime is 82540441. The reversal of 82540432 is 23404528.

It can be written as a sum of positive squares in 4 ways, for example, as 6780816 + 75759616 = 2604^2 + 8704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82540432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19044 + ... + 22972.

It is an arithmetic number, because the mean of its divisors is an integer number (4349331).

Almost surely, 2^82540432 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 82540432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86986620).

82540432 is an abundant number, since it is smaller than the sum of its proper divisors (91432808).

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

82540432 is a wasteful number, since it uses less digits than its factorization.

82540432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 82540432 is about 9085.1764980104. The cubic root of 82540432 is about 435.4004890560.

The spelling of 82540432 in words is "eighty-two million, five hundred forty thousand, four hundred thirty-two".