84284844 has 48 divisors (see below), whose sum is σ = 237984768. Its totient is φ = 22664448.

The previous prime is 84284843. The next prime is 84284909. The reversal of 84284844 is 44848248.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 84284796 and 84284805.

It is not an unprimeable number, because it can be changed into a prime (84284843) 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, 28084 + ... + 30939.

It is an arithmetic number, because the mean of its divisors is an integer number (4958016).

Almost surely, 2^84284844 is an apocalyptic number.

84284844 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

84284844 is an abundant number, since it is smaller than the sum of its proper divisors (153699924).

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

84284844 is a wasteful number, since it uses less digits than its factorization.

84284844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59054 (or 59052 counting only the distinct ones).

The product of its digits is 262144, while the sum is 42.

The square root of 84284844 is about 9180.6777527588. The cubic root of 84284844 is about 438.4463871366.

The spelling of 84284844 in words is "eighty-four million, two hundred eighty-four thousand, eight hundred forty-four".