83856448 has 42 divisors (see below), whose sum is σ = 180210714. Its totient is φ = 38697984.

The previous prime is 83856433. The next prime is 83856469. The reversal of 83856448 is 84465838.

It can be written as a sum of positive squares in 3 ways, for example, as 10445824 + 73410624 = 3232^2 + 8568^2 .

It is a super-3 number, since 3×83856448³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83856398 and 83856407.

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 5 ways as a sum of consecutive naturals, for example, 6940 + ... + 14692.

Almost surely, 2^83856448 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 83856448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90105357).

83856448 is an abundant number, since it is smaller than the sum of its proper divisors (96354266).

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

83856448 is a wasteful number, since it uses less digits than its factorization.

83856448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7791 (or 7768 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The square root of 83856448 is about 9157.3166375309. The cubic root of 83856448 is about 437.7022920820.

The spelling of 83856448 in words is "eighty-three million, eight hundred fifty-six thousand, four hundred forty-eight".