286906240 has 64 divisors (see below), whose sum is σ = 708059520. Its totient is φ = 111052800.

The previous prime is 286906223. The next prime is 286906247. The reversal of 286906240 is 42609682.

286906240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 286906240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286906247) 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, 12610 + ... + 27070.

It is an arithmetic number, because the mean of its divisors is an integer number (11063430).

Almost surely, 2^286906240 is an apocalyptic number.

286906240 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 286906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354029760).

286906240 is an abundant number, since it is smaller than the sum of its proper divisors (421153280).

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

286906240 is a wasteful number, since it uses less digits than its factorization.

286906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14511 (or 14499 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 286906240 is about 16938.3068811496. The cubic root of 286906240 is about 659.5483901655.

The spelling of 286906240 in words is "two hundred eighty-six million, nine hundred six thousand, two hundred forty".