86163600 has 120 divisors (see below), whose sum is σ = 280919520. Its totient is φ = 22568960.

The previous prime is 86163587. The next prime is 86163629. The reversal of 86163600 is 636168.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70192 + ... + 71408.

It is an arithmetic number, because the mean of its divisors is an integer number (2340996).

Almost surely, 2^86163600 is an apocalyptic number.

86163600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86163600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140459760).

86163600 is an abundant number, since it is smaller than the sum of its proper divisors (194755920).

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

86163600 is a wasteful number, since it uses less digits than its factorization.

86163600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 86163600 is about 9282.4350253584. The cubic root of 86163600 is about 441.6802147658.

Adding to 86163600 its reverse (636168), we get a palindrome (86799768).

The spelling of 86163600 in words is "eighty-six million, one hundred sixty-three thousand, six hundred".