1266894000 has 320 divisors, whose sum is σ = 4700592000. Its totient is φ = 325785600.

The previous prime is 1266893983. The next prime is 1266894001. The reversal of 1266894000 is 4986621.

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 (1266894001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1565596 + ... + 1566404.

It is an arithmetic number, because the mean of its divisors is an integer number (14689350).

Almost surely, 2^1266894000 is an apocalyptic number.

1266894000 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 1266894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350296000).

1266894000 is an abundant number, since it is smaller than the sum of its proper divisors (3433698000).

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

1266894000 is a wasteful number, since it uses less digits than its factorization.

1266894000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1266894000 is about 35593.4544544359. The cubic root of 1266894000 is about 1082.0485808608.

The spelling of 1266894000 in words is "one billion, two hundred sixty-six million, eight hundred ninety-four thousand".