83360160 has 288 divisors, whose sum is σ = 315636048. Its totient is φ = 19906560.

The previous prime is 83360143. The next prime is 83360161. The reversal of 83360160 is 6106338.

It can be written as a sum of positive squares in 8 ways, for example, as 5143824 + 78216336 = 2268^2 + 8844^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83360161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141884 + ... + 1141956.

Almost surely, 2^83360160 is an apocalyptic number.

83360160 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 83360160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157818024).

83360160 is an abundant number, since it is smaller than the sum of its proper divisors (232275888).

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

83360160 is a wasteful number, since it uses less digits than its factorization.

83360160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 83360160 is about 9130.1785305655. The cubic root of 83360160 is about 436.8370978434.

Adding to 83360160 its reverse (6106338), we get a palindrome (89466498).

The spelling of 83360160 in words is "eighty-three million, three hundred sixty thousand, one hundred sixty".