1268056800 has 216 divisors, whose sum is σ = 4557223944. Its totient is φ = 331668480.

The previous prime is 1268056759. The next prime is 1268056879. The reversal of 1268056800 is 86508621.

It is a happy number.

1268056800 is a `hidden beast` number, since 12 + 6 + 80 + 568 + 0 + 0 = 666.

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

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, 379939 + ... + 383261.

It is an arithmetic number, because the mean of its divisors is an integer number (21098259).

Almost surely, 2^1268056800 is an apocalyptic number.

1268056800 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 1268056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278611972).

1268056800 is an abundant number, since it is smaller than the sum of its proper divisors (3289167144).

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

1268056800 is a wasteful number, since it uses less digits than its factorization.

1268056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1268056800 is about 35609.7851720563. The cubic root of 1268056800 is about 1082.3795270815.

The spelling of 1268056800 in words is "one billion, two hundred sixty-eight million, fifty-six thousand, eight hundred".