1296864 has 96 divisors (see below), whose sum is σ = 4032000. Its totient is φ = 404352.

The previous prime is 1296839. The next prime is 1296877. The reversal of 1296864 is 4686921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16377 + ... + 16455.

It is an arithmetic number, because the mean of its divisors is an integer number (42000).

2^1296864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1296864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016000).

1296864 is an abundant number, since it is smaller than the sum of its proper divisors (2735136).

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

1296864 is a wasteful number, since it uses less digits than its factorization.

1296864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1296864 is about 1138.7993677554. The cubic root of 1296864 is about 109.0514584624.

The spelling of 1296864 in words is "one million, two hundred ninety-six thousand, eight hundred sixty-four".