987982560 has 72 divisors (see below), whose sum is σ = 3371495400. Its totient is φ = 263461632.

The previous prime is 987982559. The next prime is 987982561. The reversal of 987982560 is 65289789.

It is a happy number.

987982560 is a `hidden beast` number, since 9 + 8 + 79 + 8 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (987982559) and next prime (987982561).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×987982560² = 1952219077728307200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 987982497 and 987982506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987982561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341610 + ... + 344489.

It is an arithmetic number, because the mean of its divisors is an integer number (46826325).

Almost surely, 2^987982560 is an apocalyptic number.

987982560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

987982560 is an abundant number, since it is smaller than the sum of its proper divisors (2383512840).

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

987982560 is a wasteful number, since it uses less digits than its factorization.

987982560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686120 (or 686109 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 987982560 is about 31432.1898696225. The cubic root of 987982560 is about 995.9780321279.

The spelling of 987982560 in words is "nine hundred eighty-seven million, nine hundred eighty-two thousand, five hundred sixty".