7985568 has 48 divisors (see below), whose sum is σ = 21119616. Its totient is φ = 2641920.

The previous prime is 7985561. The next prime is 7985581. The reversal of 7985568 is 8655897.

7985568 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a d-powerful number, because it can be written as 7⁸ + 9² + 8⁴ + 5² + 5⁹ + 6⁴ + 8⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7985561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18313 + ... + 18743.

It is an arithmetic number, because the mean of its divisors is an integer number (439992).

Almost surely, 2^7985568 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 7985568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10559808).

7985568 is an abundant number, since it is smaller than the sum of its proper divisors (13134048).

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

7985568 is a wasteful number, since it uses less digits than its factorization.

7985568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 629 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The square root of 7985568 is about 2825.8747318308. The cubic root of 7985568 is about 199.8796609404.

The spelling of 7985568 in words is "seven million, nine hundred eighty-five thousand, five hundred sixty-eight".