286568960 has 160 divisors (see below), whose sum is σ = 744809472. Its totient is φ = 105431040.

The previous prime is 286568941. The next prime is 286568987. The reversal of 286568960 is 69865682.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 286568899 and 286568908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1825202 + ... + 1825358.

Almost surely, 2^286568960 is an apocalyptic number.

286568960 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 286568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372404736).

286568960 is an abundant number, since it is smaller than the sum of its proper divisors (458240512).

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

286568960 is a wasteful number, since it uses less digits than its factorization.

286568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The square root of 286568960 is about 16928.3478225136. The cubic root of 286568960 is about 659.2898391398.

The spelling of 286568960 in words is "two hundred eighty-six million, five hundred sixty-eight thousand, nine hundred sixty".