286861968 has 120 divisors (see below), whose sum is σ = 842769720. Its totient is φ = 90961920.

The previous prime is 286861951. The next prime is 286861973. The reversal of 286861968 is 869168682.

It is a happy number.

It is a Cunningham number, because it is equal to 16937²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 65804544 + 221057424 = 8112^2 + 14868^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304378 + ... + 305318.

It is an arithmetic number, because the mean of its divisors is an integer number (7023081).

Almost surely, 2^286861968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286861968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421384860).

286861968 is an abundant number, since it is smaller than the sum of its proper divisors (555907752).

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

286861968 is a wasteful number, since it uses less digits than its factorization.

286861968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1048 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 286861968 is about 16936.9999704788. Note that the first 4 decimals coincide. The cubic root of 286861968 is about 659.5144638343.

The spelling of 286861968 in words is "two hundred eighty-six million, eight hundred sixty-one thousand, nine hundred sixty-eight".