83630208 has 128 divisors (see below), whose sum is σ = 245877120. Its totient is φ = 25051136.

The previous prime is 83630203. The next prime is 83630221. The reversal of 83630208 is 80203638.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (83630203) 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, 149866 + ... + 150422.

It is an arithmetic number, because the mean of its divisors is an integer number (1920915).

Almost surely, 2^83630208 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 83630208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122938560).

83630208 is an abundant number, since it is smaller than the sum of its proper divisors (162246912).

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

83630208 is a wasteful number, since it uses less digits than its factorization.

83630208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 83630208 is about 9144.9553306728. The cubic root of 83630208 is about 437.3083054618.

It can be divided in two parts, 83630 and 208, that added together give a palindrome (83838).

The spelling of 83630208 in words is "eighty-three million, six hundred thirty thousand, two hundred eight".