1294416 has 60 divisors (see below), whose sum is σ = 3699540. Its totient is φ = 422400.

The previous prime is 1294399. The next prime is 1294453. The reversal of 1294416 is 6144921.

It can be written as a sum of positive squares in 2 ways, for example, as 810000 + 484416 = 900^2 + 696^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1294416.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12766 + ... + 12866.

It is an arithmetic number, because the mean of its divisors is an integer number (61659).

2^1294416 is an apocalyptic number.

1294416 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 1294416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849770).

1294416 is an abundant number, since it is smaller than the sum of its proper divisors (2405124).

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

1294416 is a wasteful number, since it uses less digits than its factorization.

1294416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1294416 is about 1137.7240438700. The cubic root of 1294416 is about 108.9827989578.

The spelling of 1294416 in words is "one million, two hundred ninety-four thousand, four hundred sixteen".