987600 has 60 divisors (see below), whose sum is σ = 3167456. Its totient is φ = 263040.

The previous prime is 987599. The next prime is 987607. The reversal of 987600 is 6789.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987607) 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, 789 + ... + 1611.

2⁹⁸⁷⁶⁰⁰ 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 987600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583728).

987600 is an abundant number, since it is smaller than the sum of its proper divisors (2179856).

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

987600 is a wasteful number, since it uses less digits than its factorization.

987600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 987600 is about 993.7806599044. The cubic root of 987600 is about 99.5849463548.

The spelling of 987600 in words is "nine hundred eighty-seven thousand, six hundred".