83064384 has 84 divisors (see below), whose sum is σ = 256426716. Its totient is φ = 25555968.

The previous prime is 83064383. The next prime is 83064403. The reversal of 83064384 is 48346038.

83064384 is a `hidden beast` number, since 8 + 3 + 0 + 643 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40449600 + 42614784 = 6360^2 + 6528^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83064383) 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, 1942 + ... + 13034.

It is an arithmetic number, because the mean of its divisors is an integer number (3052699).

Almost surely, 2^83064384 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 83064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128213358).

83064384 is an abundant number, since it is smaller than the sum of its proper divisors (173362332).

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

83064384 is a wasteful number, since it uses less digits than its factorization.

83064384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11124 (or 11111 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 83064384 is about 9113.9664252179. The cubic root of 83064384 is about 436.3198281778.

The spelling of 83064384 in words is "eighty-three million, sixty-four thousand, three hundred eighty-four".