1266804400 has 60 divisors (see below), whose sum is σ = 3055587912. Its totient is φ = 504709120.

The previous prime is 1266804397. The next prime is 1266804401. The reversal of 1266804400 is 44086621.

It is not an unprimeable number, because it can be changed into a prime (1266804401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96639 + ... + 108961.

Almost surely, 2^1266804400 is an apocalyptic number.

1266804400 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 1266804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527793956).

1266804400 is an abundant number, since it is smaller than the sum of its proper divisors (1788783512).

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

1266804400 is a wasteful number, since it uses less digits than its factorization.

1266804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12598 (or 12587 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 1266804400 is about 35592.1957737929. The cubic root of 1266804400 is about 1082.0230712711.

The spelling of 1266804400 in words is "one billion, two hundred sixty-six million, eight hundred four thousand, four hundred".