286989120 has 168 divisors, whose sum is σ = 1076980320. Its totient is φ = 69565440.

The previous prime is 286989119. The next prime is 286989127. The reversal of 286989120 is 21989682.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286989127) 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 23 ways as a sum of consecutive naturals, for example, 27151 + ... + 36209.

Almost surely, 2^286989120 is an apocalyptic number.

286989120 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 286989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538490160).

286989120 is an abundant number, since it is smaller than the sum of its proper divisors (789991200).

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

286989120 is a wasteful number, since it uses less digits than its factorization.

286989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9093 (or 9080 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 286989120 is about 16940.7532300072. The cubic root of 286989120 is about 659.6118930341.

The spelling of 286989120 in words is "two hundred eighty-six million, nine hundred eighty-nine thousand, one hundred twenty".