27160 has 32 divisors (see below), whose sum is σ = 70560. Its totient is φ = 9216.

The previous prime is 27143. The next prime is 27179. The reversal of 27160 is 6172.

27160 = T₁₅ + T₁₆ + ... + T₅₄.

It is a congruent number.

It is an unprimeable number.

27160 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, 232 + ... + 328.

It is an arithmetic number, because the mean of its divisors is an integer number (2205).

2²⁷¹⁶⁰ is an apocalyptic number.

27160 is a gapful number since it is divisible by the number (20) 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 27160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280).

27160 is an abundant number, since it is smaller than the sum of its proper divisors (43400).

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

27160 is a wasteful number, since it uses less digits than its factorization.

27160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 27160 is about 164.8029125956. The cubic root of 27160 is about 30.0591425878.

The spelling of 27160 in words is "twenty-seven thousand, one hundred sixty".