83393568 has 72 divisors (see below), whose sum is σ = 251115228. Its totient is φ = 26161152.

The previous prime is 83393567. The next prime is 83393573. The reversal of 83393568 is 86539338.

83393568 is a `hidden beast` number, since 83 + 3 + 9 + 3 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83393424 + 144 = 9132^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (83393567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3621 + ... + 13412.

Almost surely, 2^83393568 is an apocalyptic number.

It is an amenable number.

83393568 is an abundant number, since it is smaller than the sum of its proper divisors (167721660).

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

83393568 is a wasteful number, since it uses less digits than its factorization.

83393568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17066 (or 17055 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 83393568 is about 9132.0078843593. The cubic root of 83393568 is about 436.8954466782.

The spelling of 83393568 in words is "eighty-three million, three hundred ninety-three thousand, five hundred sixty-eight".