88160 has 48 divisors (see below), whose sum is σ = 226800. Its totient is φ = 32256.

The previous prime is 88129. The next prime is 88169. The reversal of 88160 is 6188.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88160.

It is not an unprimeable number, because it can be changed into a prime (88169) by changing a digit.

88160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3026 + ... + 3054.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2⁸⁸¹⁶⁰ is an apocalyptic number.

88160 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 88160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400).

88160 is an abundant number, since it is smaller than the sum of its proper divisors (138640).

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

88160 is a wasteful number, since it uses less digits than its factorization.

88160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 88160 is about 296.9174969583. The cubic root of 88160 is about 44.5065428245.

The spelling of 88160 in words is "eighty-eight thousand, one hundred sixty".