9852564 has 48 divisors (see below), whose sum is σ = 24550400. Its totient is φ = 3066336.

The previous prime is 9852559. The next prime is 9852569. The reversal of 9852564 is 4652589.

It is an interprime number because it is at equal distance from previous prime (9852559) and next prime (9852569).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9852569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17739 + ... + 18285.

Almost surely, 2^9852564 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 9852564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12275200).

9852564 is an abundant number, since it is smaller than the sum of its proper divisors (14697836).

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

9852564 is a wasteful number, since it uses less digits than its factorization.

9852564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 650 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 9852564 is about 3138.8794178815. The cubic root of 9852564 is about 214.3794183202.

It can be divided in two parts, 98525 and 64, that added together give a palindrome (98589).

The spelling of 9852564 in words is "nine million, eight hundred fifty-two thousand, five hundred sixty-four".