83381670 has 128 divisors (see below), whose sum is σ = 240537600. Its totient is φ = 20490624.

The previous prime is 83381653. The next prime is 83381677. The reversal of 83381670 is 7618338.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83381677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179859 + ... + 180321.

It is an arithmetic number, because the mean of its divisors is an integer number (1879200).

Almost surely, 2^83381670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83381670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120268800).

83381670 is an abundant number, since it is smaller than the sum of its proper divisors (157155930).

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

83381670 is a wasteful number, since it uses less digits than its factorization.

83381670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 83381670 is about 9131.3564162177. The cubic root of 83381670 is about 436.8746679804.

The spelling of 83381670 in words is "eighty-three million, three hundred eighty-one thousand, six hundred seventy".