286845120 has 168 divisors, whose sum is σ = 995196384. Its totient is φ = 75829248.

The previous prime is 286845113. The next prime is 286845133. The reversal of 286845120 is 21548682.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 394197 + ... + 394923.

It is an arithmetic number, because the mean of its divisors is an integer number (5923788).

Almost surely, 2^286845120 is an apocalyptic number.

286845120 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 286845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497598192).

286845120 is an abundant number, since it is smaller than the sum of its proper divisors (708351264).

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

286845120 is a wasteful number, since it uses less digits than its factorization.

286845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 286845120 is about 16936.5025905587. The cubic root of 286845120 is about 659.5015520295.

The spelling of 286845120 in words is "two hundred eighty-six million, eight hundred forty-five thousand, one hundred twenty".