9924480 has 96 divisors (see below), whose sum is σ = 34290360. Its totient is φ = 2644992.

The previous prime is 9924469. The next prime is 9924487. The reversal of 9924480 is 844299.

9924480 = 55² + 56² + ... + 310².

It is a happy number.

9924480 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 tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9924487) 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, 4899 + ... + 6621.

Almost surely, 2^9924480 is an apocalyptic number.

9924480 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 9924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17145180).

9924480 is an abundant number, since it is smaller than the sum of its proper divisors (24365880).

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

9924480 is a wasteful number, since it uses less digits than its factorization.

9924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9924480 is about 3150.3142700372. The cubic root of 9924480 is about 214.8997549620.

It can be divided in two parts, 9924 and 480, that added together give a square (10404 = 102²).

The spelling of 9924480 in words is "nine million, nine hundred twenty-four thousand, four hundred eighty".