83942208 has 168 divisors, whose sum is σ = 278952960. Its totient is φ = 23639040.

The previous prime is 83942179. The next prime is 83942213. The reversal of 83942208 is 80224938.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439393 + ... + 439583.

Almost surely, 2^83942208 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 83942208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139476480).

83942208 is an abundant number, since it is smaller than the sum of its proper divisors (195010752).

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

83942208 is a wasteful number, since it uses less digits than its factorization.

83942208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83942208 is about 9161.9980353632. The cubic root of 83942208 is about 437.8514539742.

Adding to 83942208 its sum of digits (36), we get a square (83942244 = 9162²).

The spelling of 83942208 in words is "eighty-three million, nine hundred forty-two thousand, two hundred eight".