268126272 has 168 divisors, whose sum is σ = 825130176. Its totient is φ = 83026944.

The previous prime is 268126247. The next prime is 268126273. The reversal of 268126272 is 272621862.

268126272 is a `hidden beast` number, since 26 + 8 + 1 + 2 + 627 + 2 = 666.

268126272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (268126273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489903 + ... + 490449.

Almost surely, 2^268126272 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 268126272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412565088).

268126272 is an abundant number, since it is smaller than the sum of its proper divisors (557003904).

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

268126272 is a wasteful number, since it uses less digits than its factorization.

268126272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 612 counting only the distinct ones).

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

The square root of 268126272 is about 16374.5617345931. The cubic root of 268126272 is about 644.8318148115.

The spelling of 268126272 in words is "two hundred sixty-eight million, one hundred twenty-six thousand, two hundred seventy-two".