1266418560 has 256 divisors, whose sum is σ = 4480427520. Its totient is φ = 301670400.

The previous prime is 1266418529. The next prime is 1266418567. The reversal of 1266418560 is 658146621.

It is a happy number.

It is a super-2 number, since 2×1266418560² = 3207631938224947200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1266418567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1287829 + ... + 1288811.

It is an arithmetic number, because the mean of its divisors is an integer number (17501670).

Almost surely, 2^1266418560 is an apocalyptic number.

1266418560 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 1266418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240213760).

1266418560 is an abundant number, since it is smaller than the sum of its proper divisors (3214008960).

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

1266418560 is a wasteful number, since it uses less digits than its factorization.

1266418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1266418560 is about 35586.7750716471. The cubic root of 1266418560 is about 1081.9132068556.

The spelling of 1266418560 in words is "one billion, two hundred sixty-six million, four hundred eighteen thousand, five hundred sixty".