83330160 has 40 divisors (see below), whose sum is σ = 258324240. Its totient is φ = 22221312.

The previous prime is 83330129. The next prime is 83330167. The reversal of 83330160 is 6103338.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a self number, because there is not a number n which added to its sum of digits gives 83330160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83330167) 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 7 ways as a sum of consecutive naturals, for example, 173365 + ... + 173844.

It is an arithmetic number, because the mean of its divisors is an integer number (6458106).

Almost surely, 2^83330160 is an apocalyptic number.

83330160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83330160 is an abundant number, since it is smaller than the sum of its proper divisors (174994080).

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

83330160 is a wasteful number, since it uses less digits than its factorization.

83330160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347225 (or 347219 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 83330160 is about 9128.5354794731. The cubic root of 83330160 is about 436.7846879738.

Adding to 83330160 its reverse (6103338), we get a palindrome (89433498).

The spelling of 83330160 in words is "eighty-three million, three hundred thirty thousand, one hundred sixty".