1268564460 has 24 divisors (see below), whose sum is σ = 3551980656. Its totient is φ = 338283840.

The previous prime is 1268564459. The next prime is 1268564467. The reversal of 1268564460 is 644658621.

It is not an unprimeable number, because it can be changed into a prime (1268564467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10571311 + ... + 10571430.

It is an arithmetic number, because the mean of its divisors is an integer number (147999194).

Almost surely, 2^1268564460 is an apocalyptic number.

1268564460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1268564460 is an abundant number, since it is smaller than the sum of its proper divisors (2283416196).

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

1268564460 is a wasteful number, since it uses less digits than its factorization.

1268564460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21142753 (or 21142751 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 1268564460 is about 35616.9125556947. The cubic root of 1268564460 is about 1082.5239494974.

The spelling of 1268564460 in words is "one billion, two hundred sixty-eight million, five hundred sixty-four thousand, four hundred sixty".