1268660900 has 72 divisors (see below), whose sum is σ = 2982428904. Its totient is φ = 465638400.

The previous prime is 1268660881. The next prime is 1268660903. The reversal of 1268660900 is 90668621.

It can be written as a sum of positive squares in 12 ways, for example, as 28494244 + 1240166656 = 5338^2 + 35216^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1268660903) 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, 222080 + ... + 227720.

Almost surely, 2^1268660900 is an apocalyptic number.

1268660900 is a gapful number since it is divisible by the number (10) 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 1268660900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491214452).

1268660900 is an abundant number, since it is smaller than the sum of its proper divisors (1713768004).

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

1268660900 is a wasteful number, since it uses less digits than its factorization.

1268660900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 1268660900 is about 35618.2663811702. The cubic root of 1268660900 is about 1082.5513810201.

The spelling of 1268660900 in words is "one billion, two hundred sixty-eight million, six hundred sixty thousand, nine hundred".