286720 has 56 divisors (see below), whose sum is σ = 786384. Its totient is φ = 98304.

The previous prime is 286711. The next prime is 286721. The reversal of 286720 is 27682.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40957 + ... + 40963.

286720 is a Friedman number, since it can be written as 70*(8-2-2)^6, using all its digits and the basic arithmetic operations.

2²⁸⁶⁷²⁰ is an apocalyptic number.

286720 is a gapful number since it is divisible by the number (20) 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 286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393192).

286720 is an abundant number, since it is smaller than the sum of its proper divisors (499664).

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

286720 is an frugal number, since it uses more digits than its factorization.

286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 286720 is about 535.4624169818. The cubic root of 286720 is about 65.9405647969.

The spelling of 286720 in words is "two hundred eighty-six thousand, seven hundred twenty".