83318160 has 80 divisors (see below), whose sum is σ = 267215040. Its totient is φ = 21450240.

The previous prime is 83318159. The next prime is 83318161. The reversal of 83318160 is 6181338.

It is an interprime number because it is at equal distance from previous prime (83318159) and next prime (83318161).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (83318161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975 + ... + 12945.

It is an arithmetic number, because the mean of its divisors is an integer number (3340188).

Almost surely, 2^83318160 is an apocalyptic number.

83318160 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 83318160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133607520).

83318160 is an abundant number, since it is smaller than the sum of its proper divisors (183896880).

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

83318160 is a wasteful number, since it uses less digits than its factorization.

83318160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12016 (or 12010 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 83318160 is about 9127.8781762247. The cubic root of 83318160 is about 436.7637205038.

Adding to 83318160 its reverse (6181338), we get a palindrome (89499498).

The spelling of 83318160 in words is "eighty-three million, three hundred eighteen thousand, one hundred sixty".