83845888 has 72 divisors (see below), whose sum is σ = 194261760. Its totient is φ = 35374080.

The previous prime is 83845871. The next prime is 83845891. The reversal of 83845888 is 88854838.

It is an unprimeable number.

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, 126903 + ... + 127561.

It is an arithmetic number, because the mean of its divisors is an integer number (2698080).

Almost surely, 2^83845888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83845888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97130880).

83845888 is an abundant number, since it is smaller than the sum of its proper divisors (110415872).

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

83845888 is an equidigital number, since it uses as much as digits as its factorization.

83845888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 739 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 52.

The square root of 83845888 is about 9156.7400312557. The cubic root of 83845888 is about 437.6839181015.

The spelling of 83845888 in words is "eighty-three million, eight hundred forty-five thousand, eight hundred eighty-eight".