86590881 has 24 divisors (see below), whose sum is σ = 135023616. Its totient is φ = 53157600.

The previous prime is 86590849. The next prime is 86590891. The reversal of 86590881 is 18809568.

It is not a de Polignac number, because 86590881 - 2⁵ = 86590849 is a prime.

It is a super-2 number, since 2×86590881² = 14995961344712322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86590891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74656 + ... + 75806.

It is an arithmetic number, because the mean of its divisors is an integer number (5625984).

Almost surely, 2^86590881 is an apocalyptic number.

It is an amenable number.

86590881 is a deficient number, since it is larger than the sum of its proper divisors (48432735).

86590881 is a wasteful number, since it uses less digits than its factorization.

86590881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 86590881 is about 9305.4221290600. The cubic root of 86590881 is about 442.4091013135.

The spelling of 86590881 in words is "eighty-six million, five hundred ninety thousand, eight hundred eighty-one".