1296880 has 80 divisors (see below), whose sum is σ = 3437280. Its totient is φ = 451584.

The previous prime is 1296877. The next prime is 1296899. The reversal of 1296880 is 886921.

1296880 = 108² + 109² + ... + 172².

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30139 + ... + 30181.

It is an arithmetic number, because the mean of its divisors is an integer number (42966).

2^1296880 is an apocalyptic number.

1296880 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 1296880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718640).

1296880 is an abundant number, since it is smaller than the sum of its proper divisors (2140400).

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

1296880 is a wasteful number, since it uses less digits than its factorization.

1296880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1296880 is about 1138.8063926761. The cubic root of 1296880 is about 109.0519069330.

The spelling of 1296880 in words is "one million, two hundred ninety-six thousand, eight hundred eighty".