86153364 has 36 divisors (see below), whose sum is σ = 237575520. Its totient is φ = 26106960.

The previous prime is 86153351. The next prime is 86153383. The reversal of 86153364 is 46335168.

86153364 is a `hidden beast` number, since 8 + 61 + 533 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 108384 + ... + 109175.

It is an arithmetic number, because the mean of its divisors is an integer number (6599320).

Almost surely, 2^86153364 is an apocalyptic number.

It is an amenable number.

86153364 is an abundant number, since it is smaller than the sum of its proper divisors (151422156).

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

86153364 is a wasteful number, since it uses less digits than its factorization.

86153364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217580 (or 217575 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 86153364 is about 9281.8836450367. The cubic root of 86153364 is about 441.6627239393.

The spelling of 86153364 in words is "eighty-six million, one hundred fifty-three thousand, three hundred sixty-four".