83607568 has 60 divisors (see below), whose sum is σ = 182144592. Its totient is φ = 36869760.

The previous prime is 83607521. The next prime is 83607571. The reversal of 83607568 is 86570638.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 240771 + ... + 241117.

Almost surely, 2^83607568 is an apocalyptic number.

83607568 is a gapful number since it is divisible by the number (88) 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 83607568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91072296).

83607568 is an abundant number, since it is smaller than the sum of its proper divisors (98537024).

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

83607568 is a wasteful number, since it uses less digits than its factorization.

83607568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 83607568 is about 9143.7174059569. The cubic root of 83607568 is about 437.2688398435.

The spelling of 83607568 in words is "eighty-three million, six hundred seven thousand, five hundred sixty-eight".