268164 has 48 divisors (see below), whose sum is σ = 752640. Its totient is φ = 82080.

The previous prime is 268153. The next prime is 268171. The reversal of 268164 is 461862.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

268164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1309 + ... + 1499.

It is an arithmetic number, because the mean of its divisors is an integer number (15680).

2²⁶⁸¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376320).

268164 is an abundant number, since it is smaller than the sum of its proper divisors (484476).

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

268164 is a wasteful number, since it uses less digits than its factorization.

268164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 268164 is about 517.8455368158. The cubic root of 268164 is about 64.4862058116.

The spelling of 268164 in words is "two hundred sixty-eight thousand, one hundred sixty-four".