990087120 has 240 divisors, whose sum is σ = 3656016000. Its totient is φ = 238126080.

The previous prime is 990087067. The next prime is 990087121. The reversal of 990087120 is 21780099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 (990087121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1179661 + ... + 1180499.

It is an arithmetic number, because the mean of its divisors is an integer number (15233400).

Almost surely, 2^990087120 is an apocalyptic number.

990087120 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 990087120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008000).

990087120 is an abundant number, since it is smaller than the sum of its proper divisors (2665928880).

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

990087120 is a wasteful number, since it uses less digits than its factorization.

990087120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 990087120 is about 31465.6498423281. The cubic root of 990087120 is about 996.6847277829.

It can be divided in two parts, 9900 and 87120, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 990087120 in words is "nine hundred ninety million, eighty-seven thousand, one hundred twenty".