1296646560 has 288 divisors, whose sum is σ = 4877832960. Its totient is φ = 311040000.

The previous prime is 1296646531. The next prime is 1296646567. The reversal of 1296646560 is 656466921.

1296646560 is a `hidden beast` number, since 1 + 29 + 6 + 64 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (1296646567) 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 47 ways as a sum of consecutive naturals, for example, 1726185 + ... + 1726935.

It is an arithmetic number, because the mean of its divisors is an integer number (16936920).

It is a vampire number, since it can be written as 26160 ⋅ 49566 (with its own digits).

Almost surely, 2^1296646560 is an apocalyptic number.

1296646560 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 1296646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438916480).

1296646560 is an abundant number, since it is smaller than the sum of its proper divisors (3581186400).

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

1296646560 is a wasteful number, since it uses less digits than its factorization.

1296646560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1296646560 is about 36008.9788802737. The cubic root of 1296646560 is about 1090.4536338115.

The spelling of 1296646560 in words is "one billion, two hundred ninety-six million, six hundred forty-six thousand, five hundred sixty".