987652680 has 192 divisors, whose sum is σ = 3574938240. Its totient is φ = 213801984.

The previous prime is 987652619. The next prime is 987652703. The reversal of 987652680 is 86256789.

987652680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×987652680² = 1950915632622364800, which contains 22 as substring.

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, 301612 + ... + 304868.

It is an arithmetic number, because the mean of its divisors is an integer number (18619470).

Almost surely, 2^987652680 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 987652680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787469120).

987652680 is an abundant number, since it is smaller than the sum of its proper divisors (2587285560).

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

987652680 is a wasteful number, since it uses less digits than its factorization.

987652680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 987652680 is about 31426.9419447709. The cubic root of 987652680 is about 995.8671699121.

The spelling of 987652680 in words is "nine hundred eighty-seven million, six hundred fifty-two thousand, six hundred eighty".