988900 has 72 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 336000.

The previous prime is 988877. The next prime is 988901. The reversal of 988900 is 9889.

It is not an unprimeable number, because it can be changed into a prime (988901) by changing a digit.

988900 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 23 ways as a sum of consecutive naturals, for example, 31885 + ... + 31915.

It is an arithmetic number, because the mean of its divisors is an integer number (34720).

2⁹⁸⁸⁹⁰⁰ 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 988900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

988900 is an abundant number, since it is smaller than the sum of its proper divisors (1510940).

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

988900 is a wasteful number, since it uses less digits than its factorization.

988900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 988900 is about 994.4345126754. The cubic root of 988900 is about 99.6286224948.

Multiplying 988900 by its reverse (9889), we get a square (9779232100 = 98890²).

988900 divided by its reverse (9889) gives a square (100 = 10²).

It can be divided in two parts, 98 and 8900, that added together give a palindrome (8998).

The spelling of 988900 in words is "nine hundred eighty-eight thousand, nine hundred".