83616 has 48 divisors (see below), whose sum is σ = 239904. Its totient is φ = 25344.

The previous prime is 83609. The next prime is 83617. The reversal of 83616 is 61638.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1215 + ... + 1281.

It is an arithmetic number, because the mean of its divisors is an integer number (4998).

2⁸³⁶¹⁶ 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 83616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119952).

83616 is an abundant number, since it is smaller than the sum of its proper divisors (156288).

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

83616 is a wasteful number, since it uses less digits than its factorization.

83616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 85 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 83616 is about 289.1643131508. The cubic root of 83616 is about 43.7283539178.

The spelling of 83616 in words is "eighty-three thousand, six hundred sixteen".