1255564960 has 96 divisors (see below), whose sum is σ = 3238598160. Its totient is φ = 457187328.

The previous prime is 1255564957. The next prime is 1255564979. The reversal of 1255564960 is 694655521.

It can be written as a sum of positive squares in 8 ways, for example, as 649026576 + 606538384 = 25476^2 + 24628^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147706 + ... + 155974.

Almost surely, 2^1255564960 is an apocalyptic number.

1255564960 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 1255564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619299080).

1255564960 is an abundant number, since it is smaller than the sum of its proper divisors (1983033200).

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

1255564960 is a wasteful number, since it uses less digits than its factorization.

1255564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8370 (or 8362 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 43.

The square root of 1255564960 is about 35433.9520798908. The cubic root of 1255564960 is about 1078.8135576414.

The spelling of 1255564960 in words is "one billion, two hundred fifty-five million, five hundred sixty-four thousand, nine hundred sixty".