987280 has 80 divisors (see below), whose sum is σ = 2749824. Its totient is φ = 322560.

The previous prime is 987251. The next prime is 987293. The reversal of 987280 is 82789.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

987280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22939 + ... + 22981.

2⁹⁸⁷²⁸⁰ is an apocalyptic number.

987280 is the 574-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374912).

987280 is an abundant number, since it is smaller than the sum of its proper divisors (1762544).

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

987280 is a wasteful number, since it uses less digits than its factorization.

987280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 987280 is about 993.6196455385. The cubic root of 987280 is about 99.5741894271.

The spelling of 987280 in words is "nine hundred eighty-seven thousand, two hundred eighty".