83980 has 48 divisors (see below), whose sum is σ = 211680. Its totient is φ = 27648.

The previous prime is 83969. The next prime is 83983. The reversal of 83980 is 8938.

It is a plaindrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (83983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4411 + ... + 4429.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2⁸³⁹⁸⁰ 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 83980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

83980 is an abundant number, since it is smaller than the sum of its proper divisors (127700).

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

83980 is a wasteful number, since it uses less digits than its factorization.

83980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 83980 is about 289.7930295918. The cubic root of 83980 is about 43.7917153141.

It can be divided in two parts, 839 and 80, that added together give a palindrome (919).

The spelling of 83980 in words is "eighty-three thousand, nine hundred eighty".