84079944 has 112 divisors (see below), whose sum is σ = 254778300. Its totient is φ = 25847424.

The previous prime is 84079859. The next prime is 84079981. The reversal of 84079944 is 44997048.

It can be written as a sum of positive squares in 2 ways, for example, as 63011844 + 21068100 = 7938^2 + 4590^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 84079944.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 75262 + ... + 76370.

Almost surely, 2^84079944 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 84079944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127389150).

84079944 is an abundant number, since it is smaller than the sum of its proper divisors (170698356).

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

84079944 is a wasteful number, since it uses less digits than its factorization.

84079944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 84079944 is about 9169.5116554809. The cubic root of 84079944 is about 438.0908049676.

The spelling of 84079944 in words is "eighty-four million, seventy-nine thousand, nine hundred forty-four".