1427264 has 28 divisors (see below), whose sum is σ = 2933700. Its totient is φ = 688128.

The previous prime is 1427233. The next prime is 1427281. The reversal of 1427264 is 4627241.

It can be written as a sum of positive squares in 2 ways, for example, as 652864 + 774400 = 808^2 + 880^2 .

It is a d-powerful number, because it can be written as 1 + 4 + 2¹⁵ + 7⁷ + 2¹⁹ + 6⁶ + 4 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1472 + ... + 2240.

It is an arithmetic number, because the mean of its divisors is an integer number (104775).

2^1427264 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 1427264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466850).

1427264 is an abundant number, since it is smaller than the sum of its proper divisors (1506436).

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

1427264 is an equidigital number, since it uses as much as digits as its factorization.

1427264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 800 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 1427264 is about 1194.6815475264. The cubic root of 1427264 is about 112.5904194889.

The spelling of 1427264 in words is "one million, four hundred twenty-seven thousand, two hundred sixty-four".