1266827400 has 288 divisors, whose sum is σ = 4466142720. Its totient is φ = 321408000.

The previous prime is 1266827381. The next prime is 1266827407. The reversal of 1266827400 is 47286621.

It is a super-2 number, since 2×1266827400² = 3209703322781520000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1266827407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4073245 + ... + 4073555.

It is an arithmetic number, because the mean of its divisors is an integer number (15507440).

Almost surely, 2^1266827400 is an apocalyptic number.

1266827400 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 1266827400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233071360).

1266827400 is an abundant number, since it is smaller than the sum of its proper divisors (3199315320).

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

1266827400 is a wasteful number, since it uses less digits than its factorization.

1266827400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1266827400 is about 35592.5188768651. The cubic root of 1266827400 is about 1082.0296196064.

The spelling of 1266827400 in words is "one billion, two hundred sixty-six million, eight hundred twenty-seven thousand, four hundred".