987144960 has 72 divisors (see below), whose sum is σ = 3152706480. Its totient is φ = 263237632.

The previous prime is 987144947. The next prime is 987144971. The reversal of 987144960 is 69441789.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124695 + ... + 132374.

It is an arithmetic number, because the mean of its divisors is an integer number (43787590).

Almost surely, 2^987144960 is an apocalyptic number.

It is an amenable number.

987144960 is an abundant number, since it is smaller than the sum of its proper divisors (2165561520).

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

987144960 is a wasteful number, since it uses less digits than its factorization.

987144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257093 (or 257079 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 987144960 is about 31418.8631239260. The cubic root of 987144960 is about 995.6964930619.

The spelling of 987144960 in words is "nine hundred eighty-seven million, one hundred forty-four thousand, nine hundred sixty".