987532560 has 560 divisors, whose sum is σ = 4098487680. Its totient is φ = 216483840.

The previous prime is 987532537. The next prime is 987532571. The reversal of 987532560 is 65235789.

It is a happy number.

987532560 is a `hidden beast` number, since 9 + 87 + 5 + 3 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 111 ways as a sum of consecutive naturals, for example, 16737811 + ... + 16737869.

It is an arithmetic number, because the mean of its divisors is an integer number (7318728).

Almost surely, 2^987532560 is an apocalyptic number.

987532560 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 987532560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049243840).

987532560 is an abundant number, since it is smaller than the sum of its proper divisors (3110955120).

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

987532560 is a wasteful number, since it uses less digits than its factorization.

987532560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 987532560 is about 31425.0307875744. The cubic root of 987532560 is about 995.8267952552.

The spelling of 987532560 in words is "nine hundred eighty-seven million, five hundred thirty-two thousand, five hundred sixty".