86948160 has 112 divisors (see below), whose sum is σ = 297338496. Its totient is φ = 21399552.

The previous prime is 86948153. The next prime is 86948209. The reversal of 86948160 is 6184968.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 8997 + ... + 15963.

It is an arithmetic number, because the mean of its divisors is an integer number (2654808).

Almost surely, 2^86948160 is an apocalyptic number.

86948160 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 86948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148669248).

86948160 is an abundant number, since it is smaller than the sum of its proper divisors (210390336).

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

86948160 is a wasteful number, since it uses less digits than its factorization.

86948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000 (or 6990 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 86948160 is about 9324.5997233125. The cubic root of 86948160 is about 443.0167349096.

The spelling of 86948160 in words is "eighty-six million, nine hundred forty-eight thousand, one hundred sixty".