9629760 has 112 divisors (see below), whose sum is σ = 34966656. Its totient is φ = 2199552.

The previous prime is 9629759. The next prime is 9629761. The reversal of 9629760 is 679269.

9629760 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9629759) and next prime (9629761).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9629761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6004 + ... + 7436.

Almost surely, 2^9629760 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 9629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17483328).

9629760 is an abundant number, since it is smaller than the sum of its proper divisors (25336896).

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

9629760 is a wasteful number, since it uses less digits than its factorization.

9629760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 9629760 is about 3103.1854601361. The cubic root of 9629760 is about 212.7511033942.

The spelling of 9629760 in words is "nine million, six hundred twenty-nine thousand, seven hundred sixty".