83288644 has 36 divisors (see below), whose sum is σ = 156490180. Its totient is φ = 38776320.

The previous prime is 83288641. The next prime is 83288651. The reversal of 83288644 is 44688238.

It can be written as a sum of positive squares in 6 ways, for example, as 23040000 + 60248644 = 4800^2 + 7762^2 .

It is a super-3 number, since 3×83288644³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 83288644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83288641) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 125674 + ... + 126334.

Almost surely, 2^83288644 is an apocalyptic number.

It is an amenable number.

83288644 is a deficient number, since it is larger than the sum of its proper divisors (73201536).

83288644 is a wasteful number, since it uses less digits than its factorization.

83288644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 789 counting only the distinct ones).

The product of its digits is 294912, while the sum is 43.

The square root of 83288644 is about 9126.2612279071. The cubic root of 83288644 is about 436.7121389495.

The spelling of 83288644 in words is "eighty-three million, two hundred eighty-eight thousand, six hundred forty-four".