86577168 has 20 divisors (see below), whose sum is σ = 223657808. Its totient is φ = 28859040.

The previous prime is 86577163. The next prime is 86577193. The reversal of 86577168 is 86177568.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 1803691 = 86577168 / (8 + 6 + 5 + 7 + 7 + 1 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (86577163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 901798 + ... + 901893.

Almost surely, 2^86577168 is an apocalyptic number.

It is an amenable number.

86577168 is an abundant number, since it is smaller than the sum of its proper divisors (137080640).

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

86577168 is a wasteful number, since it uses less digits than its factorization.

86577168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803702 (or 1803696 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The square root of 86577168 is about 9304.6852714103. The cubic root of 86577168 is about 442.3857459816.

The spelling of 86577168 in words is "eighty-six million, five hundred seventy-seven thousand, one hundred sixty-eight".