987561120 has 384 divisors, whose sum is σ = 3999227904. Its totient is φ = 199102464.

The previous prime is 987561109. The next prime is 987561131. The reversal of 987561120 is 21165789.

It is an interprime number because it is at equal distance from previous prime (987561109) and next prime (987561131).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1004149 + ... + 1005131.

It is an arithmetic number, because the mean of its divisors is an integer number (10414656).

Almost surely, 2^987561120 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 987561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999613952).

987561120 is an abundant number, since it is smaller than the sum of its proper divisors (3011666784).

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

987561120 is a wasteful number, since it uses less digits than its factorization.

987561120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 987561120 is about 31425.4851991182. The cubic root of 987561120 is about 995.8363951206.

The spelling of 987561120 in words is "nine hundred eighty-seven million, five hundred sixty-one thousand, one hundred twenty".