990990144 has 336 divisors, whose sum is σ = 3245998080. Its totient is φ = 287400960.

The previous prime is 990990127. The next prime is 990990149. The reversal of 990990144 is 441099099.

It is a super-2 number, since 2×990990144² = 1964122931010281472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 990990144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990990149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7803009 + ... + 7803135.

Almost surely, 2^990990144 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 990990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622999040).

990990144 is an abundant number, since it is smaller than the sum of its proper divisors (2255007936).

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

990990144 is a wasteful number, since it uses less digits than its factorization.

990990144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 990990144 is about 31479.9959339260. The cubic root of 990990144 is about 996.9876495229.

The spelling of 990990144 in words is "nine hundred ninety million, nine hundred ninety thousand, one hundred forty-four".