83066688 has 112 divisors (see below), whose sum is σ = 249082560. Its totient is φ = 27136512.

The previous prime is 83066681. The next prime is 83066699. The reversal of 83066688 is 88666038.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83066681) 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, 91131 + ... + 92037.

Almost surely, 2^83066688 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 83066688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124541280).

83066688 is an abundant number, since it is smaller than the sum of its proper divisors (166015872).

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

83066688 is a wasteful number, since it uses less digits than its factorization.

83066688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 83066688 is about 9114.0928237538. The cubic root of 83066688 is about 436.3238622838.

The spelling of 83066688 in words is "eighty-three million, sixty-six thousand, six hundred eighty-eight".