268160 has 32 divisors (see below), whose sum is σ = 642600. Its totient is φ = 107008.

The previous prime is 268153. The next prime is 268171. The reversal of 268160 is 61862.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 431 + ... + 849.

2²⁶⁸¹⁶⁰ is an apocalyptic number.

268160 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 268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321300).

268160 is an abundant number, since it is smaller than the sum of its proper divisors (374440).

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

268160 is an equidigital number, since it uses as much as digits as its factorization.

268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 268160 is about 517.8416746458. The cubic root of 268160 is about 64.4858851793.

The spelling of 268160 in words is "two hundred sixty-eight thousand, one hundred sixty".