1286144 has 28 divisors (see below), whose sum is σ = 2588514. Its totient is φ = 638976.

The previous prime is 1286119. The next prime is 1286147. The reversal of 1286144 is 4416821.

It can be written as a sum of positive squares in only one way, i.e., 1183744 + 102400 = 1088^2 + 320^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1286147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8114 + ... + 8270.

2^1286144 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 1286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294257).

1286144 is an abundant number, since it is smaller than the sum of its proper divisors (1302370).

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

1286144 is an frugal number, since it uses more digits than its factorization.

1286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 159 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 1286144 is about 1134.0828893868. The cubic root of 1286144 is about 108.7501501737.

The spelling of 1286144 in words is "one million, two hundred eighty-six thousand, one hundred forty-four".