1268658900 has 108 divisors (see below), whose sum is σ = 4073648124. Its totient is φ = 330048000.

The previous prime is 1268658893. The next prime is 1268658913. The reversal of 1268658900 is 98568621.

1268658900 is a `hidden beast` number, since 1 + 2 + 68 + 6 + 589 + 0 + 0 = 666.

1268658900 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 476461584 + 792197316 = 21828^2 + 28146^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19710 + ... + 54090.

Almost surely, 2^1268658900 is an apocalyptic number.

1268658900 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 1268658900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036824062).

1268658900 is an abundant number, since it is smaller than the sum of its proper divisors (2804989224).

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

1268658900 is a wasteful number, since it uses less digits than its factorization.

1268658900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34442 (or 34432 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1268658900 is about 35618.2383056771. The cubic root of 1268658900 is about 1082.5508121515.

The spelling of 1268658900 in words is "one billion, two hundred sixty-eight million, six hundred fifty-eight thousand, nine hundred".