86187200 has 168 divisors, whose sum is σ = 238109760. Its totient is φ = 30438400.

The previous prime is 86187193. The next prime is 86187203. The reversal of 86187200 is 278168.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (86187203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1038359 + ... + 1038441.

It is an arithmetic number, because the mean of its divisors is an integer number (1417320).

Almost surely, 2^86187200 is an apocalyptic number.

86187200 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 86187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119054880).

86187200 is an abundant number, since it is smaller than the sum of its proper divisors (151922560).

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

86187200 is a wasteful number, since it uses less digits than its factorization.

86187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 86187200 is about 9283.7061564873. The cubic root of 86187200 is about 441.7205361294.

The spelling of 86187200 in words is "eighty-six million, one hundred eighty-seven thousand, two hundred".