9924880 has 80 divisors (see below), whose sum is σ = 27141120. Its totient is φ = 3303936.

The previous prime is 9924851. The next prime is 9924881. The reversal of 9924880 is 884299.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (9924881) 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, 20481 + ... + 20959.

It is an arithmetic number, because the mean of its divisors is an integer number (339264).

Almost surely, 2^9924880 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 9924880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570560).

9924880 is an abundant number, since it is smaller than the sum of its proper divisors (17216240).

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

9924880 is a wasteful number, since it uses less digits than its factorization.

9924880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 9924880 is about 3150.3777551272. The cubic root of 9924880 is about 214.9026420569.

The spelling of 9924880 in words is "nine million, nine hundred twenty-four thousand, eight hundred eighty".