83672106 has 64 divisors (see below), whose sum is σ = 197472000. Its totient is φ = 23623488.

The previous prime is 83672081. The next prime is 83672111. The reversal of 83672106 is 60127638.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224136 + ... + 224508.

It is an arithmetic number, because the mean of its divisors is an integer number (3085500).

Almost surely, 2^83672106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83672106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98736000).

83672106 is an abundant number, since it is smaller than the sum of its proper divisors (113799894).

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

83672106 is a wasteful number, since it uses less digits than its factorization.

83672106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 83672106 is about 9147.2458149981. The cubic root of 83672106 is about 437.3813224768.

The spelling of 83672106 in words is "eighty-three million, six hundred seventy-two thousand, one hundred six".