83616080 has 80 divisors (see below), whose sum is σ = 201653760. Its totient is φ = 32223744.

The previous prime is 83616079. The next prime is 83616101. The reversal of 83616080 is 8061638.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374849 + ... + 375071.

It is an arithmetic number, because the mean of its divisors is an integer number (2520672).

Almost surely, 2^83616080 is an apocalyptic number.

83616080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83616080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100826880).

83616080 is an abundant number, since it is smaller than the sum of its proper divisors (118037680).

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

83616080 is a wasteful number, since it uses less digits than its factorization.

83616080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 83616080 is about 9144.1828503153. The cubic root of 83616080 is about 437.2836786360.

It can be divided in two parts, 8361 and 6080, that added together give a palindrome (14441).

The spelling of 83616080 in words is "eighty-three million, six hundred sixteen thousand, eighty".