987001560 has 192 divisors, whose sum is σ = 3369600000. Its totient is φ = 250225920.

The previous prime is 987001559. The next prime is 987001583. The reversal of 987001560 is 65100789.

987001560 is a `hidden beast` number, since 98 + 7 + 0 + 0 + 1 + 560 = 666.

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

It is a congruent number.

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, 657691 + ... + 659189.

It is an arithmetic number, because the mean of its divisors is an integer number (17550000).

Almost surely, 2^987001560 is an apocalyptic number.

987001560 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 987001560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684800000).

987001560 is an abundant number, since it is smaller than the sum of its proper divisors (2382598440).

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

987001560 is a wasteful number, since it uses less digits than its factorization.

987001560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 987001560 is about 31416.5809724738. The cubic root of 987001560 is about 995.6482766407.

The spelling of 987001560 in words is "nine hundred eighty-seven million, one thousand, five hundred sixty".