990144 has 70 divisors (see below), whose sum is σ = 2950464. Its totient is φ = 328320.

The previous prime is 990137. The next prime is 990151. The reversal of 990144 is 441099.

990144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (990137) and next prime (990151).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5089 + ... + 5279.

2⁹⁹⁰¹⁴⁴ 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 990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475232).

990144 is an abundant number, since it is smaller than the sum of its proper divisors (1960320).

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

990144 is a wasteful number, since it uses less digits than its factorization.

990144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 990144 is about 995.0597971981. The cubic root of 990144 is about 99.6703813760.

The spelling of 990144 in words is "nine hundred ninety thousand, one hundred forty-four".