9990144 has 78 divisors (see below), whose sum is σ = 28963376. Its totient is φ = 3317760.

The previous prime is 9990137. The next prime is 9990163. The reversal of 9990144 is 4410999.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 9990099 and 9990108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36729 + ... + 36999.

Almost surely, 2^9990144 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 9990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14481688).

9990144 is an abundant number, since it is smaller than the sum of its proper divisors (18973232).

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

9990144 is a wasteful number, since it uses less digits than its factorization.

9990144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9990144 is about 3160.7189055656. The cubic root of 9990144 is about 215.3726653757.

The spelling of 9990144 in words is "nine million, nine hundred ninety thousand, one hundred forty-four".