83104632 has 96 divisors (see below), whose sum is σ = 255200400. Its totient is φ = 24219648.

The previous prime is 83104579. The next prime is 83104639. The reversal of 83104632 is 23640138.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 83104596 and 83104605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83104639) by changing a digit.

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, 15448 + ... + 20120.

Almost surely, 2^83104632 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 83104632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127600200).

83104632 is an abundant number, since it is smaller than the sum of its proper divisors (172095768).

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

83104632 is a wasteful number, since it uses less digits than its factorization.

83104632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 83104632 is about 9116.1741975458. The cubic root of 83104632 is about 436.3902882396.

The spelling of 83104632 in words is "eighty-three million, one hundred four thousand, six hundred thirty-two".