1278144 has 84 divisors (see below), whose sum is σ = 4200144. Its totient is φ = 364032.

The previous prime is 1278139. The next prime is 1278163. The reversal of 1278144 is 4418721.

1278144 = T₁₆₇ + T₁₆₈ + ... + T₂₃₀.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3874 + ... + 4190.

2^1278144 is an apocalyptic number.

1278144 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 1278144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100072).

1278144 is an abundant number, since it is smaller than the sum of its proper divisors (2922000).

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

1278144 is a wasteful number, since it uses less digits than its factorization.

1278144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 1278144 is about 1130.5503084781. The cubic root of 1278144 is about 108.5242005380.

The spelling of 1278144 in words is "one million, two hundred seventy-eight thousand, one hundred forty-four".