1295760960 has 336 divisors, whose sum is σ = 4897764144. Its totient is φ = 312459264.

The previous prime is 1295760953. The next prime is 1295760997. The reversal of 1295760960 is 690675921.

It is a happy number.

1295760960 is a `hidden beast` number, since 12 + 9 + 576 + 0 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 107993664 + 1187767296 = 10392^2 + 34464^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1983994 + ... + 1984646.

It is an arithmetic number, because the mean of its divisors is an integer number (14576679).

Almost surely, 2^1295760960 is an apocalyptic number.

1295760960 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 1295760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448882072).

1295760960 is an abundant number, since it is smaller than the sum of its proper divisors (3602003184).

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

1295760960 is a wasteful number, since it uses less digits than its factorization.

1295760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1295760960 is about 35996.6798468970. The cubic root of 1295760960 is about 1090.2053200180.

The spelling of 1295760960 in words is "one billion, two hundred ninety-five million, seven hundred sixty thousand, nine hundred sixty".