83805640 has 64 divisors (see below), whose sum is σ = 195093360. Its totient is φ = 32378880.

The previous prime is 83805619. The next prime is 83805647. The reversal of 83805640 is 4650838.

It can be written as a sum of positive squares in 8 ways, for example, as 19131876 + 64673764 = 4374^2 + 8042^2 .

It is a junction number, because it is equal to n+sod(n) for n = 83805596 and 83805605.

It is not an unprimeable number, because it can be changed into a prime (83805647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224494 + ... + 224866.

Almost surely, 2^83805640 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 83805640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97546680).

83805640 is an abundant number, since it is smaller than the sum of its proper divisors (111287720).

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

83805640 is a wasteful number, since it uses less digits than its factorization.

83805640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 83805640 is about 9154.5420420685. The cubic root of 83805640 is about 437.6138740314.

The spelling of 83805640 in words is "eighty-three million, eight hundred five thousand, six hundred forty".