83384960 has 64 divisors (see below), whose sum is σ = 201280680. Its totient is φ = 33030144.

The previous prime is 83384929. The next prime is 83384963. The reversal of 83384960 is 6948338.

It can be written as a sum of positive squares in 4 ways, for example, as 54051904 + 29333056 = 7352^2 + 5416^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (83384963) by changing a digit.

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, 71744 + ... + 72896.

Almost surely, 2^83384960 is an apocalyptic number.

83384960 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 83384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100640340).

83384960 is an abundant number, since it is smaller than the sum of its proper divisors (117895720).

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

83384960 is a wasteful number, since it uses less digits than its factorization.

83384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 83384960 is about 9131.5365629230. The cubic root of 83384960 is about 436.8804138426.

The spelling of 83384960 in words is "eighty-three million, three hundred eighty-four thousand, nine hundred sixty".