86916393 has 48 divisors (see below), whose sum is σ = 144892800. Its totient is φ = 49835520.

The previous prime is 86916377. The next prime is 86916397. The reversal of 86916393 is 39361968.

86916393 is a `hidden beast` number, since 8 + 6 + 9 + 1 + 639 + 3 = 666.

It is not a de Polignac number, because 86916393 - 2⁴ = 86916377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86916397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83788 + ... + 84818.

It is an arithmetic number, because the mean of its divisors is an integer number (3018600).

Almost surely, 2^86916393 is an apocalyptic number.

It is an amenable number.

86916393 is a deficient number, since it is larger than the sum of its proper divisors (57976407).

86916393 is a wasteful number, since it uses less digits than its factorization.

86916393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1099 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 86916393 is about 9322.8961701823. The cubic root of 86916393 is about 442.9627754511.

The spelling of 86916393 in words is "eighty-six million, nine hundred sixteen thousand, three hundred ninety-three".