268537168 has 40 divisors (see below), whose sum is σ = 553625280. Its totient is φ = 125744640.

The previous prime is 268537163. The next prime is 268537207. The reversal of 268537168 is 861735862.

It is a super-2 number, since 2×268537168² = 144224421194920448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268537163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55053 + ... + 59731.

It is an arithmetic number, because the mean of its divisors is an integer number (13840632).

Almost surely, 2^268537168 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 268537168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276812640).

268537168 is an abundant number, since it is smaller than the sum of its proper divisors (285088112).

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

268537168 is a wasteful number, since it uses less digits than its factorization.

268537168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4915 (or 4909 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The square root of 268537168 is about 16387.1037099300. The cubic root of 268537168 is about 645.1610422550.

The spelling of 268537168 in words is "two hundred sixty-eight million, five hundred thirty-seven thousand, one hundred sixty-eight".