86191200 has 108 divisors (see below), whose sum is σ = 303957108. Its totient is φ = 22982400.

The previous prime is 86191181. The next prime is 86191211. The reversal of 86191200 is 219168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1215 + ... + 13185.

Almost surely, 2^86191200 is an apocalyptic number.

86191200 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 86191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151978554).

86191200 is an abundant number, since it is smaller than the sum of its proper divisors (217765908).

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

86191200 is a wasteful number, since it uses less digits than its factorization.

86191200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11997 (or 11981 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 86191200 is about 9283.9215851923. The cubic root of 86191200 is about 441.7273695293.

The spelling of 86191200 in words is "eighty-six million, one hundred ninety-one thousand, two hundred".