81590592 has 56 divisors (see below), whose sum is σ = 216611200. Its totient is φ = 27104256.

The previous prime is 81590581. The next prime is 81590629. The reversal of 81590592 is 29509518.

It is a self number, because there is not a number n which added to its sum of digits gives 81590592.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 78009 + ... + 79047.

Almost surely, 2^81590592 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 81590592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108305600).

81590592 is an abundant number, since it is smaller than the sum of its proper divisors (135020608).

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

81590592 is a wasteful number, since it uses less digits than its factorization.

81590592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 81590592 is about 9032.7510759458. The cubic root of 81590592 is about 433.7239071637.

The spelling of 81590592 in words is "eighty-one million, five hundred ninety thousand, five hundred ninety-two".