1296891648 has 360 divisors, whose sum is σ = 4425121008. Its totient is φ = 374243328.

The previous prime is 1296891641. The next prime is 1296891667. The reversal of 1296891648 is 8461986921.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1296891594 and 1296891603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296891641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4582515 + ... + 4582797.

Almost surely, 2^1296891648 is an apocalyptic number.

1296891648 is a gapful number since it is divisible by the number (18) 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 1296891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212560504).

1296891648 is an abundant number, since it is smaller than the sum of its proper divisors (3128229360).

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

1296891648 is a wasteful number, since it uses less digits than its factorization.

1296891648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 318 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 1296891648 is about 36012.3818706844. The cubic root of 1296891648 is about 1090.5223341732.

The spelling of 1296891648 in words is "one billion, two hundred ninety-six million, eight hundred ninety-one thousand, six hundred forty-eight".