268274160 has 320 divisors, whose sum is σ = 1152783360. Its totient is φ = 55710720.

The previous prime is 268274159. The next prime is 268274183. The reversal of 268274160 is 61472862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165514 + ... + 167126.

It is an arithmetic number, because the mean of its divisors is an integer number (3602448).

Almost surely, 2^268274160 is an apocalyptic number.

268274160 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 268274160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576391680).

268274160 is an abundant number, since it is smaller than the sum of its proper divisors (884509200).

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

268274160 is a wasteful number, since it uses less digits than its factorization.

268274160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 268274160 is about 16379.0768970660. The cubic root of 268274160 is about 644.9503477192.

The spelling of 268274160 in words is "two hundred sixty-eight million, two hundred seventy-four thousand, one hundred sixty".