83938176 has 144 divisors (see below), whose sum is σ = 281165040. Its totient is φ = 23966208.

The previous prime is 83938157. The next prime is 83938177. The reversal of 83938176 is 67183938.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83938177) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55705 + ... + 57191.

It is an arithmetic number, because the mean of its divisors is an integer number (1952535).

Almost surely, 2^83938176 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 83938176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140582520).

83938176 is an abundant number, since it is smaller than the sum of its proper divisors (197226864).

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

83938176 is a wasteful number, since it uses less digits than its factorization.

83938176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1499 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 83938176 is about 9161.7779933810. Note that the first 3 decimals coincide. The cubic root of 83938176 is about 437.8444434155.

The spelling of 83938176 in words is "eighty-three million, nine hundred thirty-eight thousand, one hundred seventy-six".