82590492 has 48 divisors (see below), whose sum is σ = 209865600. Its totient is φ = 25179840.

The previous prime is 82590491. The next prime is 82590509. The reversal of 82590492 is 29409528.

It is a self number, because there is not a number n which added to its sum of digits gives 82590492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82590491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367 + ... + 12857.

It is an arithmetic number, because the mean of its divisors is an integer number (4372200).

Almost surely, 2^82590492 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 82590492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104932800).

82590492 is an abundant number, since it is smaller than the sum of its proper divisors (127275108).

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

82590492 is a wasteful number, since it uses less digits than its factorization.

82590492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12546 (or 12544 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 82590492 is about 9087.9311176967. The cubic root of 82590492 is about 435.4884933752.

The spelling of 82590492 in words is "eighty-two million, five hundred ninety thousand, four hundred ninety-two".