83121920 has 72 divisors (see below), whose sum is σ = 227570784. Its totient is φ = 28495872.

The previous prime is 83121893. The next prime is 83121937. The reversal of 83121920 is 2912138.

It is a self number, because there is not a number n which added to its sum of digits gives 83121920.

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, 4322 + ... + 13598.

Almost surely, 2^83121920 is an apocalyptic number.

83121920 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 83121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113785392).

83121920 is an abundant number, since it is smaller than the sum of its proper divisors (144448864).

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

83121920 is an equidigital number, since it uses as much as digits as its factorization.

83121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9305 (or 9291 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 83121920 is about 9117.1223530235. The cubic root of 83121920 is about 436.4205464496.

The spelling of 83121920 in words is "eighty-three million, one hundred twenty-one thousand, nine hundred twenty".