286944 has 72 divisors (see below), whose sum is σ = 890568. Its totient is φ = 80640.

The previous prime is 286927. The next prime is 286973. The reversal of 286944 is 449682.

It is a congruent number.

It is an unprimeable number.

286944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4674 + ... + 4734.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

2²⁸⁶⁹⁴⁴ is an apocalyptic number.

286944 is a gapful number since it is divisible by the number (24) 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 286944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445284).

286944 is an abundant number, since it is smaller than the sum of its proper divisors (603624).

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

286944 is a wasteful number, since it uses less digits than its factorization.

286944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 73 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 286944 is about 535.6715411519. The cubic root of 286944 is about 65.9577323491.

The spelling of 286944 in words is "two hundred eighty-six thousand, nine hundred forty-four".