86204160 has 216 divisors, whose sum is σ = 341184480. Its totient is φ = 19685376.

The previous prime is 86204137. The next prime is 86204189. The reversal of 86204160 is 6140268.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80106 + ... + 81174.

Almost surely, 2^86204160 is an apocalyptic number.

86204160 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 86204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170592240).

86204160 is an abundant number, since it is smaller than the sum of its proper divisors (254980320).

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

86204160 is a wasteful number, since it uses less digits than its factorization.

86204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 86204160 is about 9284.6195398627. The cubic root of 86204160 is about 441.7495082929.

The spelling of 86204160 in words is "eighty-six million, two hundred four thousand, one hundred sixty".