286620224 has 112 divisors (see below), whose sum is σ = 652881600. Its totient is φ = 123648000.

The previous prime is 286620223. The next prime is 286620239. The reversal of 286620224 is 422026682.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (286620223) 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 15 ways as a sum of consecutive naturals, for example, 2061947 + ... + 2062085.

It is an arithmetic number, because the mean of its divisors is an integer number (5829300).

Almost surely, 2^286620224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286620224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326440800).

286620224 is an abundant number, since it is smaller than the sum of its proper divisors (366261376).

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

286620224 is a wasteful number, since it uses less digits than its factorization.

286620224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 286620224 is about 16929.8619013860. The cubic root of 286620224 is about 659.3291500025.

The spelling of 286620224 in words is "two hundred eighty-six million, six hundred twenty thousand, two hundred twenty-four".