86580091 has 12 divisors (see below), whose sum is σ = 94386432. Its totient is φ = 78944544.

The previous prime is 86580077. The next prime is 86580101. The reversal of 86580091 is 19008568.

It is not a de Polignac number, because 86580091 - 2²¹ = 84482939 is a prime.

It is a super-2 number, since 2×86580091² = 14992224315136562, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86580091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86580041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377965 + ... + 378193.

It is an arithmetic number, because the mean of its divisors is an integer number (7865536).

Almost surely, 2^86580091 is an apocalyptic number.

86580091 is a deficient number, since it is larger than the sum of its proper divisors (7806341).

86580091 is a wasteful number, since it uses less digits than its factorization.

86580091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 86580091 is about 9304.8423414908. The cubic root of 86580091 is about 442.3907245035.

The spelling of 86580091 in words is "eighty-six million, five hundred eighty thousand, ninety-one".