1296904176 has 80 divisors (see below), whose sum is σ = 3775115520. Its totient is φ = 426202560.

The previous prime is 1296904171. The next prime is 1296904181. The reversal of 1296904176 is 6714096921.

It is an interprime number because it is at equal distance from previous prime (1296904171) and next prime (1296904181).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296904171) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9531 + ... + 51813.

It is an arithmetic number, because the mean of its divisors is an integer number (47188944).

Almost surely, 2^1296904176 is an apocalyptic number.

1296904176 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 1296904176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887557760).

1296904176 is an abundant number, since it is smaller than the sum of its proper divisors (2478211344).

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

1296904176 is a wasteful number, since it uses less digits than its factorization.

1296904176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42371 (or 42359 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1296904176 is about 36012.5558104392. Note that the first 3 decimals coincide. The cubic root of 1296904176 is about 1090.5258456513.

The spelling of 1296904176 in words is "one billion, two hundred ninety-six million, nine hundred four thousand, one hundred seventy-six".