1268858272 has 96 divisors (see below), whose sum is σ = 2839269888. Its totient is φ = 558148800.

The previous prime is 1268858249. The next prime is 1268858299. The reversal of 1268858272 is 2728588621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×1268858272² = 3220002628845651968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40930897 + ... + 40930927.

It is an arithmetic number, because the mean of its divisors is an integer number (29575728).

Almost surely, 2^1268858272 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 1268858272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419634944).

1268858272 is an abundant number, since it is smaller than the sum of its proper divisors (1570411616).

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

1268858272 is an frugal number, since it uses more digits than its factorization.

1268858272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 44 counting only the distinct ones).

The product of its digits is 860160, while the sum is 49.

The square root of 1268858272 is about 35621.0369304432. The cubic root of 1268858272 is about 1082.6075174423.

The spelling of 1268858272 in words is "one billion, two hundred sixty-eight million, eight hundred fifty-eight thousand, two hundred seventy-two".