9687564 has 36 divisors (see below), whose sum is σ = 24908520. Its totient is φ = 3173760.

The previous prime is 9687563. The next prime is 9687571. The reversal of 9687564 is 4657869.

9687564 is a `hidden beast` number, since 9 + 6 + 87 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (9687563) 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, 157 + ... + 4404.

Almost surely, 2^9687564 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 9687564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454260).

9687564 is an abundant number, since it is smaller than the sum of its proper divisors (15220956).

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

9687564 is a wasteful number, since it uses less digits than its factorization.

9687564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4630 (or 4625 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 9687564 is about 3112.4851806876. The cubic root of 9687564 is about 213.1759440255.

The spelling of 9687564 in words is "nine million, six hundred eighty-seven thousand, five hundred sixty-four".