83371120 has 80 divisors (see below), whose sum is σ = 225789120. Its totient is φ = 28045056.

The previous prime is 83371117. The next prime is 83371129. The reversal of 83371120 is 2117338.

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 (83371129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1573014 + ... + 1573066.

It is an arithmetic number, because the mean of its divisors is an integer number (2822364).

Almost surely, 2^83371120 is an apocalyptic number.

83371120 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 83371120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112894560).

83371120 is an abundant number, since it is smaller than the sum of its proper divisors (142418000).

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

83371120 is an frugal number, since it uses more digits than its factorization.

83371120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 83371120 is about 9130.7787181598. The cubic root of 83371120 is about 436.8562417797.

Adding to 83371120 its reverse (2117338), we get a palindrome (85488458).

The spelling of 83371120 in words is "eighty-three million, three hundred seventy-one thousand, one hundred twenty".