83832644 has 48 divisors (see below), whose sum is σ = 180931968. Its totient is φ = 33166848.

The previous prime is 83832643. The next prime is 83832653. The reversal of 83832644 is 44623838.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 83832598 and 83832607.

It is not an unprimeable number, because it can be changed into a prime (83832641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23567 + ... + 26889.

It is an arithmetic number, because the mean of its divisors is an integer number (3769416).

Almost surely, 2^83832644 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 83832644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90465984).

83832644 is an abundant number, since it is smaller than the sum of its proper divisors (97099324).

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

83832644 is a wasteful number, since it uses less digits than its factorization.

83832644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3402 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 83832644 is about 9156.0168195564. The cubic root of 83832644 is about 437.6608718866.

The spelling of 83832644 in words is "eighty-three million, eight hundred thirty-two thousand, six hundred forty-four".