1296319680 has 224 divisors, whose sum is σ = 4652467200. Its totient is φ = 339692544.

The previous prime is 1296319663. The next prime is 1296319681. The reversal of 1296319680 is 869136921.

It is a happy number.

1296319680 is a `hidden beast` number, since 1 + 2 + 9 + 631 + 9 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296319681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508489 + ... + 511031.

Almost surely, 2^1296319680 is an apocalyptic number.

1296319680 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 1296319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326233600).

1296319680 is an abundant number, since it is smaller than the sum of its proper divisors (3356147520).

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

1296319680 is a wasteful number, since it uses less digits than its factorization.

1296319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1296319680 is about 36004.4397262338. The cubic root of 1296319680 is about 1090.3619929454.

The spelling of 1296319680 in words is "one billion, two hundred ninety-six million, three hundred nineteen thousand, six hundred eighty".