83608 has 16 divisors (see below), whose sum is σ = 179280. Its totient is φ = 35808.

The previous prime is 83597. The next prime is 83609. The reversal of 83608 is 80638.

It is a super-3 number, since 3×83608³ = 1753334421275136, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 691 + ... + 802.

It is an arithmetic number, because the mean of its divisors is an integer number (11205).

2⁸³⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

83608 is an abundant number, since it is smaller than the sum of its proper divisors (95672).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89640).

83608 is a wasteful number, since it uses less digits than its factorization.

83608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 83608 is about 289.1504798543. The cubic root of 83608 is about 43.7269592964.

The spelling of 83608 in words is "eighty-three thousand, six hundred eight".