1296828 has 72 divisors (see below), whose sum is σ = 3760848. Its totient is φ = 373248.

The previous prime is 1296817. The next prime is 1296829. The reversal of 1296828 is 8286921.

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

It is a junction number, because it is equal to n+sod(n) for n = 1296792 and 1296801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7875 + ... + 8037.

It is an arithmetic number, because the mean of its divisors is an integer number (52234).

2^1296828 is an apocalyptic number.

1296828 is a gapful number since it is divisible by the number (18) 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 1296828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880424).

1296828 is an abundant number, since it is smaller than the sum of its proper divisors (2464020).

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

1296828 is a wasteful number, since it uses less digits than its factorization.

1296828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 198 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1296828 is about 1138.7835615252. The cubic root of 1296828 is about 109.0504493901.

It can be divided in two parts, 12968 and 28, that added together give a square (12996 = 114²).

The spelling of 1296828 in words is "one million, two hundred ninety-six thousand, eight hundred twenty-eight".