990288 has 90 divisors (see below), whose sum is σ = 3120026. Its totient is φ = 291456.

The previous prime is 990287. The next prime is 990289. The reversal of 990288 is 882099.

It is an interprime number because it is at equal distance from previous prime (990287) and next prime (990289).

It can be written as a sum of positive squares in only one way, i.e., 685584 + 304704 = 828^2 + 552^2 .

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 (990281) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43045 + ... + 43067.

2⁹⁹⁰²⁸⁸ 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 990288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560013).

990288 is an abundant number, since it is smaller than the sum of its proper divisors (2129738).

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

990288 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 990288 = (288990)₁₃.

990288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 990288 is about 995.1321520281. The cubic root of 990288 is about 99.6752129424.

The spelling of 990288 in words is "nine hundred ninety thousand, two hundred eighty-eight".