83808672 has 48 divisors (see below), whose sum is σ = 223030080. Its totient is φ = 27551232.

The previous prime is 83808667. The next prime is 83808701. The reversal of 83808672 is 27680838.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1029 + ... + 12987.

It is an arithmetic number, because the mean of its divisors is an integer number (4646460).

Almost surely, 2^83808672 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 83808672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111515040).

83808672 is an abundant number, since it is smaller than the sum of its proper divisors (139221408).

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

83808672 is a wasteful number, since it uses less digits than its factorization.

83808672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12045 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 83808672 is about 9154.7076414269. The cubic root of 83808672 is about 437.6191514378.

The spelling of 83808672 in words is "eighty-three million, eight hundred eight thousand, six hundred seventy-two".