9960408 has 80 divisors (see below), whose sum is σ = 29403000. Its totient is φ = 3141504.

The previous prime is 9960407. The next prime is 9960443. The reversal of 9960408 is 8040699.

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 (9960407) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11908 + ... + 12716.

Almost surely, 2^9960408 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 9960408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14701500).

9960408 is an abundant number, since it is smaller than the sum of its proper divisors (19442592).

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

9960408 is a wasteful number, since it uses less digits than its factorization.

9960408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9960408 is about 3156.0114068235. The cubic root of 9960408 is about 215.1587650111.

The spelling of 9960408 in words is "nine million, nine hundred sixty thousand, four hundred eight".