278160 has 80 divisors (see below), whose sum is σ = 922560. Its totient is φ = 69120.

The previous prime is 278149. The next prime is 278177. The reversal of 278160 is 61872.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 278160.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 278160.

It is an unprimeable number.

278160 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 15 ways as a sum of consecutive naturals, for example, 4530 + ... + 4590.

It is an arithmetic number, because the mean of its divisors is an integer number (11532).

2²⁷⁸¹⁶⁰ is an apocalyptic number.

278160 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 278160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461280).

278160 is an abundant number, since it is smaller than the sum of its proper divisors (644400).

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

278160 is a wasteful number, since it uses less digits than its factorization.

278160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 278160 is about 527.4087598817. The cubic root of 278160 is about 65.2777072916.

The spelling of 278160 in words is "two hundred seventy-eight thousand, one hundred sixty".