83199632 has 60 divisors (see below), whose sum is σ = 180442320. Its totient is φ = 37052928.

The previous prime is 83199631. The next prime is 83199661. The reversal of 83199632 is 23699138.

It is a self number, because there is not a number n which added to its sum of digits gives 83199632.

It is not an unprimeable number, because it can be changed into a prime (83199631) 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, 87383 + ... + 88329.

It is an arithmetic number, because the mean of its divisors is an integer number (3007372).

Almost surely, 2^83199632 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 83199632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90221160).

83199632 is an abundant number, since it is smaller than the sum of its proper divisors (97242688).

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

83199632 is a wasteful number, since it uses less digits than its factorization.

83199632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 985 counting only the distinct ones).

The product of its digits is 69984, while the sum is 41.

The square root of 83199632 is about 9121.3832284364. The cubic root of 83199632 is about 436.5565095815.

The spelling of 83199632 in words is "eighty-three million, one hundred ninety-nine thousand, six hundred thirty-two".