86842368 has 132 divisors (see below), whose sum is σ = 260787800. Its totient is φ = 28864512.

The previous prime is 86842351. The next prime is 86842397. The reversal of 86842368 is 86324868.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (442368) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248658 + ... + 249006.

Almost surely, 2^86842368 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 86842368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130393900).

86842368 is an abundant number, since it is smaller than the sum of its proper divisors (173945432).

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

86842368 is an equidigital number, since it uses as much as digits as its factorization.

86842368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 354 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 86842368 is about 9318.9252599213. The cubic root of 86842368 is about 442.8369854757.

The spelling of 86842368 in words is "eighty-six million, eight hundred forty-two thousand, three hundred sixty-eight".