9960048 has 120 divisors (see below), whose sum is σ = 32768736.
Its totient is φ = 2764800.
The previous prime is 9960043. The next prime is 9960053. The reversal of 9960048 is 8400699.
9960048 is a `hidden beast` number, since 9 + 9 + 600 + 48 = 666.
It is an interprime number because it is at equal distance from previous prime (9960043) and next prime (9960053).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 9959994 and 9960021.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9960043) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41208 + ... + 41448.
Almost surely, 29960048 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 9960048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16384368).
9960048 is an abundant number, since it is smaller than the sum of its proper divisors (22808688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9960048 is a wasteful number, since it uses less digits than its factorization.
With its predecessor (9960047) it forms an eRAP, since the sums of their prime factors are consecutive (302 and 303).
9960048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 303 (or 294 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 36.
The square root of 9960048 is about 3155.9543722937.
The cubic root of 9960048 is about 215.1561728118.
The spelling of 9960048 in words is "nine million, nine hundred sixty thousand, forty-eight".