86408580 has 48 divisors (see below), whose sum is σ = 254681280. Its totient is φ = 21829248.

The previous prime is 86408557. The next prime is 86408593. The reversal of 86408580 is 8580468.

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 15 ways as a sum of consecutive naturals, for example, 36759 + ... + 39038.

It is an arithmetic number, because the mean of its divisors is an integer number (5305860).

Almost surely, 2^86408580 is an apocalyptic number.

It is an amenable number.

86408580 is an abundant number, since it is smaller than the sum of its proper divisors (168272700).

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

86408580 is a wasteful number, since it uses less digits than its factorization.

86408580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75828 (or 75826 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 86408580 is about 9295.6215499557. The cubic root of 86408580 is about 442.0984131443.

The spelling of 86408580 in words is "eighty-six million, four hundred eight thousand, five hundred eighty".