86156160 has 128 divisors (see below), whose sum is σ = 286709760. Its totient is φ = 21964800.

The previous prime is 86156159. The next prime is 86156197. The reversal of 86156160 is 6165168.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43185 + ... + 45135.

It is an arithmetic number, because the mean of its divisors is an integer number (2239920).

Almost surely, 2^86156160 is an apocalyptic number.

86156160 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 86156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143354880).

86156160 is an abundant number, since it is smaller than the sum of its proper divisors (200553600).

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

86156160 is a wasteful number, since it uses less digits than its factorization.

86156160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 86156160 is about 9282.0342597946. The cubic root of 86156160 is about 441.6675017586.

The spelling of 86156160 in words is "eighty-six million, one hundred fifty-six thousand, one hundred sixty".