86408 has 16 divisors (see below), whose sum is σ = 185280. Its totient is φ = 37008.

The previous prime is 86399. The next prime is 86413. The reversal of 86408 is 80468.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86408.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 716 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (11580).

2⁸⁶⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

86408 is an abundant number, since it is smaller than the sum of its proper divisors (98872).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92640).

86408 is a wasteful number, since it uses less digits than its factorization.

86408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 86408 is about 293.9523770953. The cubic root of 86408 is about 44.2097423977.

It can be divided in two parts, 86 and 408, that added together give a palindrome (494).

The spelling of 86408 in words is "eighty-six thousand, four hundred eight".