268183168 has 32 divisors (see below), whose sum is σ = 582844320. Its totient is φ = 121900800.

The previous prime is 268183159. The next prime is 268183171. The reversal of 268183168 is 861381862.

268183168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 93828 + ... + 96643.

It is an arithmetic number, because the mean of its divisors is an integer number (18213885).

Almost surely, 2^268183168 is an apocalyptic number.

268183168 is the 8754-th centered heptagonal number.

It is an amenable number.

268183168 is an abundant number, since it is smaller than the sum of its proper divisors (314661152).

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

268183168 is a wasteful number, since it uses less digits than its factorization.

268183168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190496 (or 190484 counting only the distinct ones).

The product of its digits is 110592, while the sum is 43.

The square root of 268183168 is about 16376.2989713793. The cubic root of 268183168 is about 644.8774223728.

It can be divided in two parts, 2681 and 83168, that added together give a square (85849 = 293²).

The spelling of 268183168 in words is "two hundred sixty-eight million, one hundred eighty-three thousand, one hundred sixty-eight".