86368338 has 96 divisors (see below), whose sum is σ = 230630400. Its totient is φ = 22807008.

The previous prime is 86368307. The next prime is 86368349. The reversal of 86368338 is 83386368.

It is a happy number.

86368338 is a `hidden beast` number, since 8 + 636 + 8 + 3 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86368293 and 86368302.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 102523 + ... + 103361.

It is an arithmetic number, because the mean of its divisors is an integer number (2402400).

Almost surely, 2^86368338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86368338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115315200).

86368338 is an abundant number, since it is smaller than the sum of its proper divisors (144262062).

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

86368338 is a wasteful number, since it uses less digits than its factorization.

86368338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 913 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 86368338 is about 9293.4567304098. The cubic root of 86368338 is about 442.0297714773.

The spelling of 86368338 in words is "eighty-six million, three hundred sixty-eight thousand, three hundred thirty-eight".