284084640 has 144 divisors (see below), whose sum is σ = 1107969408. Its totient is φ = 64931328.

The previous prime is 284084627. The next prime is 284084663. The reversal of 284084640 is 46480482.

284084640 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 284084595 and 284084604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4012 + ... + 24171.

It is an arithmetic number, because the mean of its divisors is an integer number (7694232).

Almost surely, 2^284084640 is an apocalyptic number.

284084640 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 284084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553984704).

284084640 is an abundant number, since it is smaller than the sum of its proper divisors (823884768).

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

284084640 is a wasteful number, since it uses less digits than its factorization.

284084640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28211 (or 28200 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 284084640 is about 16854.8105892650. The cubic root of 284084640 is about 657.3791380055.

The spelling of 284084640 in words is "two hundred eighty-four million, eighty-four thousand, six hundred forty".