268876272 has 80 divisors (see below), whose sum is σ = 800202752. Its totient is φ = 76204800.

The previous prime is 268876271. The next prime is 268876297. The reversal of 268876272 is 272678862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268876271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39522 + ... + 45822.

Almost surely, 2^268876272 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 268876272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400101376).

268876272 is an abundant number, since it is smaller than the sum of its proper divisors (531326480).

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

268876272 is a wasteful number, since it uses less digits than its factorization.

268876272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6446 (or 6440 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 268876272 is about 16397.4471183779. The cubic root of 268876272 is about 645.4324940210.

The spelling of 268876272 in words is "two hundred sixty-eight million, eight hundred seventy-six thousand, two hundred seventy-two".