286966120 has 192 divisors, whose sum is σ = 829543680. Its totient is φ = 87201792.

The previous prime is 286966079. The next prime is 286966123. The reversal of 286966120 is 21669682.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286966123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1718277 + ... + 1718443.

It is an arithmetic number, because the mean of its divisors is an integer number (4320540).

Almost surely, 2^286966120 is an apocalyptic number.

286966120 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 286966120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414771840).

286966120 is an abundant number, since it is smaller than the sum of its proper divisors (542577560).

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

286966120 is a wasteful number, since it uses less digits than its factorization.

286966120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 286966120 is about 16940.0743800020. The cubic root of 286966120 is about 659.5942716009.

The spelling of 286966120 in words is "two hundred eighty-six million, nine hundred sixty-six thousand, one hundred twenty".