82581504 has 48 divisors (see below), whose sum is σ = 220179960. Its totient is φ = 27525120.

The previous prime is 82581497. The next prime is 82581517. The reversal of 82581504 is 40518528.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 577 + ... + 12864.

Almost surely, 2^82581504 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 82581504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110089980).

82581504 is an abundant number, since it is smaller than the sum of its proper divisors (137598456).

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

82581504 is a wasteful number, since it uses less digits than its factorization.

82581504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13466 (or 13446 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 82581504 is about 9087.4366022548. The cubic root of 82581504 is about 435.4726952994.

The spelling of 82581504 in words is "eighty-two million, five hundred eighty-one thousand, five hundred four".