83365360 has 80 divisors (see below), whose sum is σ = 211861440. Its totient is φ = 30320640.

The previous prime is 83365349. The next prime is 83365361. The reversal of 83365360 is 6356338.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83365361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73276 + ... + 74404.

It is an arithmetic number, because the mean of its divisors is an integer number (2648268).

Almost surely, 2^83365360 is an apocalyptic number.

83365360 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 83365360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105930720).

83365360 is an abundant number, since it is smaller than the sum of its proper divisors (128496080).

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

83365360 is a wasteful number, since it uses less digits than its factorization.

83365360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 83365360 is about 9130.4632960217. The cubic root of 83365360 is about 436.8461809421.

The spelling of 83365360 in words is "eighty-three million, three hundred sixty-five thousand, three hundred sixty".