83684944 has 60 divisors (see below), whose sum is σ = 190009044. Its totient is φ = 35599872.

The previous prime is 83684941. The next prime is 83684947. The reversal of 83684944 is 44948638.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83684941) and next prime (83684947).

It can be written as a sum of positive squares in 2 ways, for example, as 36240400 + 47444544 = 6020^2 + 6888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 83684894 and 83684903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83684941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135324 + ... + 135940.

Almost surely, 2^83684944 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 83684944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95004522).

83684944 is an abundant number, since it is smaller than the sum of its proper divisors (106324100).

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

83684944 is a wasteful number, since it uses less digits than its factorization.

83684944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 799 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The square root of 83684944 is about 9147.9475293642. The cubic root of 83684944 is about 437.4036908005.

The spelling of 83684944 in words is "eighty-three million, six hundred eighty-four thousand, nine hundred forty-four".