1296079920 has 160 divisors (see below), whose sum is σ = 4488849600. Its totient is φ = 343719936.

The previous prime is 1296079913. The next prime is 1296079921. The reversal of 1296079920 is 299706921.

1296079920 is a `hidden beast` number, since 12 + 9 + 607 + 9 + 9 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1296079921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415326 + ... + 418434.

It is an arithmetic number, because the mean of its divisors is an integer number (28055310).

Almost surely, 2^1296079920 is an apocalyptic number.

1296079920 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 1296079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244424800).

1296079920 is an abundant number, since it is smaller than the sum of its proper divisors (3192769680).

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

1296079920 is a wasteful number, since it uses less digits than its factorization.

1296079920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1296079920 is about 36001.1099828880. The cubic root of 1296079920 is about 1090.2947663926.

The spelling of 1296079920 in words is "one billion, two hundred ninety-six million, seventy-nine thousand, nine hundred twenty".