86133168 has 60 divisors (see below), whose sum is σ = 262972008. Its totient is φ = 26100480.

The previous prime is 86133143. The next prime is 86133193.

86133168 is a `hidden beast` number, since 8 + 613 + 31 + 6 + 8 = 666.

86133168 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (86133143) and next prime (86133193).

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

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

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, 25605 + ... + 28772.

Almost surely, 2^86133168 is an apocalyptic number.

86133168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86133168 is an abundant number, since it is smaller than the sum of its proper divisors (176838840).

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

86133168 is a wasteful number, since it uses less digits than its factorization.

86133168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54402 (or 54393 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 86133168 is about 9280.7956555459. The cubic root of 86133168 is about 441.6282098394.

It can be divided in two parts, 8613 and 3168, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 86133168 in words is "eighty-six million, one hundred thirty-three thousand, one hundred sixty-eight".