268342272 has 132 divisors (see below), whose sum is σ = 845591136. Its totient is φ = 81285120.

The previous prime is 268342271. The next prime is 268342309. The reversal of 268342272 is 272243862.

It is a happy number.

268342272 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 (132).

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

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268342271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100053 + ... + 102699.

Almost surely, 2^268342272 is an apocalyptic number.

268342272 is a gapful number since it is divisible by the number (22) 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 268342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422795568).

268342272 is an abundant number, since it is smaller than the sum of its proper divisors (577248864).

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

268342272 is a wasteful number, since it uses less digits than its factorization.

268342272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2663 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 268342272 is about 16381.1560031641. The cubic root of 268342272 is about 645.0049251472.

The spelling of 268342272 in words is "two hundred sixty-eight million, three hundred forty-two thousand, two hundred seventy-two".