1286016 has 64 divisors (see below), whose sum is σ = 3635280. Its totient is φ = 401408.

The previous prime is 1286011. The next prime is 1286017. The reversal of 1286016 is 6106821.

1286016 = 374² + 375² + ... + 382².

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1286011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6430 + ... + 6626.

2^1286016 is an apocalyptic number.

1286016 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 1286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817640).

1286016 is an abundant number, since it is smaller than the sum of its proper divisors (2349264).

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

1286016 is a wasteful number, since it uses less digits than its factorization.

1286016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1286016 is about 1134.0264547179. The cubic root of 1286016 is about 108.7465423660.

The spelling of 1286016 in words is "one million, two hundred eighty-six thousand, sixteen".