1306144 has 60 divisors (see below), whose sum is σ = 3176334. Its totient is φ = 526848.

The previous prime is 1306139. The next prime is 1306157. The reversal of 1306144 is 4416031.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 960400 + 345744 = 980^2 + 588^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76824 + ... + 76840.

2^1306144 is an apocalyptic number.

1306144 is a gapful number since it is divisible by the number (14) 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 1306144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588167).

1306144 is an abundant number, since it is smaller than the sum of its proper divisors (1870190).

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

1306144 is an frugal number, since it uses more digits than its factorization.

1306144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1306144 is about 1142.8665713897. The cubic root of 1306144 is about 109.3109545049.

The spelling of 1306144 in words is "one million, three hundred six thousand, one hundred forty-four".