83668512 has 48 divisors (see below), whose sum is σ = 222657120. Its totient is φ = 27505152.

The previous prime is 83668511. The next prime is 83668513. The reversal of 83668512 is 21586638.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83668511) and next prime (83668513).

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

It is not an unprimeable number, because it can be changed into a prime (83668511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1039 + ... + 12977.

It is an arithmetic number, because the mean of its divisors is an integer number (4638690).

Almost surely, 2^83668512 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 83668512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111328560).

83668512 is an abundant number, since it is smaller than the sum of its proper divisors (138988608).

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

83668512 is a wasteful number, since it uses less digits than its factorization.

83668512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12025 (or 12017 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 83668512 is about 9147.0493603129. The cubic root of 83668512 is about 437.3750600513.

The spelling of 83668512 in words is "eighty-three million, six hundred sixty-eight thousand, five hundred twelve".