9688752 has 60 divisors (see below), whose sum is σ = 27584544. Its totient is φ = 3173760.

The previous prime is 9688747. The next prime is 9688753. The reversal of 9688752 is 2578869.

9688752 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9688698 and 9688707.

It is not an unprimeable number, because it can be changed into a prime (9688753) 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, 8233 + ... + 9335.

Almost surely, 2^9688752 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 9688752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13792272).

9688752 is an abundant number, since it is smaller than the sum of its proper divisors (17895792).

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

9688752 is a wasteful number, since it uses less digits than its factorization.

9688752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1169 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 9688752 is about 3112.6760191192. The cubic root of 9688752 is about 213.1846576942.

It can be divided in two parts, 9688 and 752, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 9688752 in words is "nine million, six hundred eighty-eight thousand, seven hundred fifty-two".