86577800 has 48 divisors (see below), whose sum is σ = 202286160. Its totient is φ = 34460480.

The previous prime is 86577797. The next prime is 86577809. The reversal of 86577800 is 877568.

It is not an unprimeable number, because it can be changed into a prime (86577809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44447 + ... + 46353.

It is an arithmetic number, because the mean of its divisors is an integer number (4214295).

Almost surely, 2^86577800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86577800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101143080).

86577800 is an abundant number, since it is smaller than the sum of its proper divisors (115708360).

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

86577800 is a wasteful number, since it uses less digits than its factorization.

86577800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The square root of 86577800 is about 9304.7192327335. The cubic root of 86577800 is about 442.3868224283.

The spelling of 86577800 in words is "eighty-six million, five hundred seventy-seven thousand, eight hundred".