1266154560 has 336 divisors, whose sum is σ = 5032564992. Its totient is φ = 288768000.

The previous prime is 1266154517. The next prime is 1266154597. The reversal of 1266154560 is 654516621.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537385 + ... + 539735.

It is an arithmetic number, because the mean of its divisors is an integer number (14977872).

Almost surely, 2^1266154560 is an apocalyptic number.

1266154560 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 1266154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516282496).

1266154560 is an abundant number, since it is smaller than the sum of its proper divisors (3766410432).

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

1266154560 is a wasteful number, since it uses less digits than its factorization.

1266154560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1266154560 is about 35583.0656352147. The cubic root of 1266154560 is about 1081.8380224089.

The spelling of 1266154560 in words is "one billion, two hundred sixty-six million, one hundred fifty-four thousand, five hundred sixty".