987636 has 36 divisors (see below), whose sum is σ = 2500512. Its totient is φ = 303264.

The previous prime is 987631. The next prime is 987659. The reversal of 987636 is 636789.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 987594 and 987603.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 987636.

It is not an unprimeable number, because it can be changed into a prime (987631) by changing a digit.

987636 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1785 + ... + 2271.

2⁹⁸⁷⁶³⁶ 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 987636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250256).

987636 is an abundant number, since it is smaller than the sum of its proper divisors (1512876).

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

987636 is a wasteful number, since it uses less digits than its factorization.

987636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 505 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 987636 is about 993.7987723881. The cubic root of 987636 is about 99.5861563637.

The spelling of 987636 in words is "nine hundred eighty-seven thousand, six hundred thirty-six".