86590464 has 88 divisors (see below), whose sum is σ = 234635328. Its totient is φ = 28385280.

The previous prime is 86590459. The next prime is 86590487. The reversal of 86590464 is 46409568.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217914 + ... + 218310.

Almost surely, 2^86590464 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 86590464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117317664).

86590464 is an abundant number, since it is smaller than the sum of its proper divisors (148044864).

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

86590464 is a wasteful number, since it uses less digits than its factorization.

86590464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 86590464 is about 9305.3997227416. The cubic root of 86590464 is about 442.4083911352.

The spelling of 86590464 in words is "eighty-six million, five hundred ninety thousand, four hundred sixty-four".