1296896 has 40 divisors (see below), whose sum is σ = 2762100. Its totient is φ = 606208.

The previous prime is 1296877. The next prime is 1296899. The reversal of 1296896 is 6986921.

It can be written as a sum of positive squares in 2 ways, for example, as 1290496 + 6400 = 1136^2 + 80^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8630 + ... + 8778.

2^1296896 is an apocalyptic number.

1296896 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 1296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381050).

1296896 is an abundant number, since it is smaller than the sum of its proper divisors (1465204).

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

1296896 is an equidigital number, since it uses as much as digits as its factorization.

1296896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its digits is 46656, while the sum is 41.

The square root of 1296896 is about 1138.8134175536. The cubic root of 1296896 is about 109.0523554000.

Subtracting from 1296896 its sum of digits (41), we obtain a triangular number (1296855 = T₁₆₁₀).

The spelling of 1296896 in words is "one million, two hundred ninety-six thousand, eight hundred ninety-six".