83677638 has 96 divisors (see below), whose sum is σ = 200527488. Its totient is φ = 23065600.

The previous prime is 83677631. The next prime is 83677651.

83677638 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83677631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 781981 + ... + 782087.

It is an arithmetic number, because the mean of its divisors is an integer number (2088828).

Almost surely, 2^83677638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83677638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100263744).

83677638 is an abundant number, since it is smaller than the sum of its proper divisors (116849850).

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

83677638 is a wasteful number, since it uses less digits than its factorization.

83677638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 83677638 is about 9147.5481961015. The cubic root of 83677638 is about 437.3909614523.

The spelling of 83677638 in words is "eighty-three million, six hundred seventy-seven thousand, six hundred thirty-eight".