284232064 has 64 divisors (see below), whose sum is σ = 585818640. Its totient is φ = 137281536.

The previous prime is 284232043. The next prime is 284232073. The reversal of 284232064 is 460232482.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 621724 + ... + 622180.

Almost surely, 2^284232064 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 284232064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292909320).

284232064 is an abundant number, since it is smaller than the sum of its proper divisors (301586576).

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

284232064 is a wasteful number, since it uses less digits than its factorization.

284232064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 284232064 is about 16859.1833728683. The cubic root of 284232064 is about 657.4928326456.

The spelling of 284232064 in words is "two hundred eighty-four million, two hundred thirty-two thousand, sixty-four".