987091560 has 384 divisors, whose sum is σ = 4088448000. Its totient is φ = 200890368.

The previous prime is 987091543. The next prime is 987091571. The reversal of 987091560 is 65190789.

987091560 is a `hidden beast` number, since 9 + 87 + 0 + 9 + 1 + 560 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 949521 + ... + 950559.

It is an arithmetic number, because the mean of its divisors is an integer number (10647000).

Almost surely, 2^987091560 is an apocalyptic number.

987091560 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 987091560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044224000).

987091560 is an abundant number, since it is smaller than the sum of its proper divisors (3101356440).

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

987091560 is a wasteful number, since it uses less digits than its factorization.

987091560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 987091560 is about 31418.0133044723. The cubic root of 987091560 is about 995.6785385386.

The spelling of 987091560 in words is "nine hundred eighty-seven million, ninety-one thousand, five hundred sixty".