987333120 has 120 divisors (see below), whose sum is σ = 3419492076. Its totient is φ = 263282688.

The previous prime is 987333077. The next prime is 987333133. The reversal of 987333120 is 21333789.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 894249216 + 93083904 = 29904^2 + 9648^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1614 + ... + 44466.

Almost surely, 2^987333120 is an apocalyptic number.

987333120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709746038).

987333120 is an abundant number, since it is smaller than the sum of its proper divisors (2432158956).

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

987333120 is a wasteful number, since it uses less digits than its factorization.

987333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42882 (or 42863 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 987333120 is about 31421.8573607608. The cubic root of 987333120 is about 995.7597523796.

The spelling of 987333120 in words is "nine hundred eighty-seven million, three hundred thirty-three thousand, one hundred twenty".