1296158976 has 432 divisors, whose sum is σ = 4613716800. Its totient is φ = 357654528.

The previous prime is 1296158947. The next prime is 1296158989. The reversal of 1296158976 is 6798516921.

1296158976 is a `hidden beast` number, since 12 + 9 + 615 + 8 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1632960) is a multiple of the sum of its prime divisors (144).

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, 14563540 + ... + 14563628.

It is an arithmetic number, because the mean of its divisors is an integer number (10679900).

Almost surely, 2^1296158976 is an apocalyptic number.

1296158976 is a gapful number since it is divisible by the number (16) 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 1296158976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306858400).

1296158976 is an abundant number, since it is smaller than the sum of its proper divisors (3317557824).

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

1296158976 is an equidigital number, since it uses as much as digits as its factorization.

1296158976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 1296158976 is about 36002.2079322922. The cubic root of 1296158976 is about 1090.3169339018.

The spelling of 1296158976 in words is "one billion, two hundred ninety-six million, one hundred fifty-eight thousand, nine hundred seventy-six".