83868672 has 88 divisors (see below), whose sum is σ = 233456256. Its totient is φ = 26718208.

The previous prime is 83868661. The next prime is 83868709. The reversal of 83868672 is 27686838.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 70063 + ... + 71249.

It is an arithmetic number, because the mean of its divisors is an integer number (2652912).

Almost surely, 2^83868672 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 83868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116728128).

83868672 is an abundant number, since it is smaller than the sum of its proper divisors (149587584).

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

83868672 is a wasteful number, since it uses less digits than its factorization.

83868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1215 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 83868672 is about 9157.9840576406. The cubic root of 83868672 is about 437.7235594303.

The spelling of 83868672 in words is "eighty-three million, eight hundred sixty-eight thousand, six hundred seventy-two".