9729564 has 48 divisors (see below), whose sum is σ = 24987648. Its totient is φ = 2927808.

The previous prime is 9729553. The next prime is 9729571. The reversal of 9729564 is 4659279.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6669 + ... + 7995.

It is an arithmetic number, because the mean of its divisors is an integer number (520576).

Almost surely, 2^9729564 is an apocalyptic number.

9729564 is a gapful number since it is divisible by the number (94) 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 9729564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12493824).

9729564 is an abundant number, since it is smaller than the sum of its proper divisors (15258084).

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

9729564 is a wasteful number, since it uses less digits than its factorization.

9729564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1392 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 9729564 is about 3119.2249037221. The cubic root of 9729564 is about 213.4835714716.

The spelling of 9729564 in words is "nine million, seven hundred twenty-nine thousand, five hundred sixty-four".