86272160 has 192 divisors, whose sum is σ = 241315200. Its totient is φ = 28864512.

The previous prime is 86272111. The next prime is 86272169. The reversal of 86272160 is 6127268.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86272169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1462211 + ... + 1462269.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^86272160 is an apocalyptic number.

86272160 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 86272160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

86272160 is an abundant number, since it is smaller than the sum of its proper divisors (155043040).

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

86272160 is a wasteful number, since it uses less digits than its factorization.

86272160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 86272160 is about 9288.2807881760. The cubic root of 86272160 is about 441.8656321224.

The spelling of 86272160 in words is "eighty-six million, two hundred seventy-two thousand, one hundred sixty".