86818600 has 192 divisors, whose sum is σ = 242841600. Its totient is φ = 28512000.

The previous prime is 86818579. The next prime is 86818601. The reversal of 86818600 is 681868.

It is a self number, because there is not a number n which added to its sum of digits gives 86818600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86818601) 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, 1295767 + ... + 1295833.

It is an arithmetic number, because the mean of its divisors is an integer number (1264800).

Almost surely, 2^86818600 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 86818600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121420800).

86818600 is an abundant number, since it is smaller than the sum of its proper divisors (156023000).

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

86818600 is a wasteful number, since it uses less digits than its factorization.

86818600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 86818600 is about 9317.6499183002. The cubic root of 86818600 is about 442.7965815803.

The spelling of 86818600 in words is "eighty-six million, eight hundred eighteen thousand, six hundred".