987160680 has 192 divisors, whose sum is σ = 3533587200. Its totient is φ = 237012480.

The previous prime is 987160679. The next prime is 987160697. The reversal of 987160680 is 86061789.

It is a happy number.

987160680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430497 + ... + 432783.

It is an arithmetic number, because the mean of its divisors is an integer number (18404100).

Almost surely, 2^987160680 is an apocalyptic number.

987160680 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 987160680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766793600).

987160680 is an abundant number, since it is smaller than the sum of its proper divisors (2546426520).

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

987160680 is a wasteful number, since it uses less digits than its factorization.

987160680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 987160680 is about 31419.1132911163. The cubic root of 987160680 is about 995.7017784274.

The spelling of 987160680 in words is "nine hundred eighty-seven million, one hundred sixty thousand, six hundred eighty".