81586032 has 80 divisors (see below), whose sum is σ = 231413760. Its totient is φ = 24563200.

The previous prime is 81586003. The next prime is 81586081. The reversal of 81586032 is 23068518.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 81585984 and 81586002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100444 + ... + 101252.

It is an arithmetic number, because the mean of its divisors is an integer number (2892672).

Almost surely, 2^81586032 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 81586032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115706880).

81586032 is an abundant number, since it is smaller than the sum of its proper divisors (149827728).

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

81586032 is a wasteful number, since it uses less digits than its factorization.

81586032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 81586032 is about 9032.4986576251. The cubic root of 81586032 is about 433.7158269107.

The spelling of 81586032 in words is "eighty-one million, five hundred eighty-six thousand, thirty-two".