83205120 has 88 divisors (see below), whose sum is σ = 266175504. Its totient is φ = 22183936.

The previous prime is 83205097. The next prime is 83205137. The reversal of 83205120 is 2150238.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12652 + ... + 18068.

Almost surely, 2^83205120 is an apocalyptic number.

83205120 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 83205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133087752).

83205120 is an abundant number, since it is smaller than the sum of its proper divisors (182970384).

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

83205120 is a wasteful number, since it uses less digits than its factorization.

83205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5445 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 83205120 is about 9121.6840550416. The cubic root of 83205120 is about 436.5661080593.

Adding to 83205120 its reverse (2150238), we get a palindrome (85355358).

The spelling of 83205120 in words is "eighty-three million, two hundred five thousand, one hundred twenty".