987580 has 36 divisors (see below), whose sum is σ = 2296728. Its totient is φ = 353760.

The previous prime is 987559. The next prime is 987587. The reversal of 987580 is 85789.

987580 = T₁₆ + T₁₇ + ... + T₁₈₀.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14707 + ... + 14773.

It is an arithmetic number, because the mean of its divisors is an integer number (63798).

2⁹⁸⁷⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148364).

987580 is an abundant number, since it is smaller than the sum of its proper divisors (1309148).

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

987580 is a wasteful number, since it uses less digits than its factorization.

987580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 987580 is about 993.7705972708. The cubic root of 987580 is about 99.5842741149.

The spelling of 987580 in words is "nine hundred eighty-seven thousand, five hundred eighty".