286983120 has 160 divisors (see below), whose sum is σ = 972794880. Its totient is φ = 69672960.

The previous prime is 286983119. The next prime is 286983131. The reversal of 286983120 is 21389682.

It is a happy number.

It is a super-2 number, since 2×286983120² = 164718622329868800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 125346 + ... + 127614.

It is an arithmetic number, because the mean of its divisors is an integer number (6079968).

Almost surely, 2^286983120 is an apocalyptic number.

286983120 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 286983120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486397440).

286983120 is an abundant number, since it is smaller than the sum of its proper divisors (685811760).

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

286983120 is a wasteful number, since it uses less digits than its factorization.

286983120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 286983120 is about 16940.5761413241. The cubic root of 286983120 is about 659.6072962292.

The spelling of 286983120 in words is "two hundred eighty-six million, nine hundred eighty-three thousand, one hundred twenty".