9624960 has 128 divisors (see below), whose sum is σ = 34149600. Its totient is φ = 2562048.

The previous prime is 9624947. The next prime is 9624961. The reversal of 9624960 is 694269.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9624961) 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, 17002 + ... + 17558.

Almost surely, 2^9624960 is an apocalyptic number.

9624960 is a gapful number since it is divisible by the number (90) 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 9624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074800).

9624960 is an abundant number, since it is smaller than the sum of its proper divisors (24524640).

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

9624960 is a wasteful number, since it uses less digits than its factorization.

9624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9624960 is about 3102.4119649073. The cubic root of 9624960 is about 212.7157485838.

The spelling of 9624960 in words is "nine million, six hundred twenty-four thousand, nine hundred sixty".