286120080 has 160 divisors (see below), whose sum is σ = 1017553920. Its totient is φ = 73820160.

The previous prime is 286120063. The next prime is 286120091. The reversal of 286120080 is 80021682.

286120080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 64824 + ... + 69096.

It is an arithmetic number, because the mean of its divisors is an integer number (6359712).

Almost surely, 2^286120080 is an apocalyptic number.

286120080 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 286120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508776960).

286120080 is an abundant number, since it is smaller than the sum of its proper divisors (731433840).

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

286120080 is a wasteful number, since it uses less digits than its factorization.

286120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 286120080 is about 16915.0843923405. The cubic root of 286120080 is about 658.9454232869.

The spelling of 286120080 in words is "two hundred eighty-six million, one hundred twenty thousand, eighty".