1296416 has 48 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 564480.

The previous prime is 1296413. The next prime is 1296419. The reversal of 1296416 is 6146921.

It is an interprime number because it is at equal distance from previous prime (1296413) and next prime (1296419).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (1296413) 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 7 ways as a sum of consecutive naturals, for example, 10145 + ... + 10271.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

2^1296416 is an apocalyptic number.

1296416 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 1296416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

1296416 is an abundant number, since it is smaller than the sum of its proper divisors (1606624).

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

1296416 is a wasteful number, since it uses less digits than its factorization.

1296416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 1296416 is about 1138.6026523770. The cubic root of 1296416 is about 109.0388997875.

The spelling of 1296416 in words is "one million, two hundred ninety-six thousand, four hundred sixteen".