83664896 has 56 divisors (see below), whose sum is σ = 191353440. Its totient is φ = 35831808.

The previous prime is 83664857. The next prime is 83664901. The reversal of 83664896 is 69846638.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56615 + ... + 58073.

Almost surely, 2^83664896 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 83664896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95676720).

83664896 is an abundant number, since it is smaller than the sum of its proper divisors (107688544).

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

83664896 is an equidigital number, since it uses as much as digits as its factorization.

83664896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1468 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 50.

The square root of 83664896 is about 9146.8516988087. The cubic root of 83664896 is about 437.3687591106.

The spelling of 83664896 in words is "eighty-three million, six hundred sixty-four thousand, eight hundred ninety-six".