988200 has 120 divisors (see below), whose sum is σ = 3488430. Its totient is φ = 259200.

The previous prime is 988199. The next prime is 988213. The reversal of 988200 is 2889.

It can be written as a sum of positive squares in 3 ways, for example, as 443556 + 544644 = 666^2 + 738^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16170 + ... + 16230.

2⁹⁸⁸²⁰⁰ is an apocalyptic number.

988200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 988200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744215).

988200 is an abundant number, since it is smaller than the sum of its proper divisors (2500230).

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

988200 is a wasteful number, since it uses less digits than its factorization.

988200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 988200 is about 994.0824915469. The cubic root of 988200 is about 99.6051093329.

It can be divided in two parts, 9 and 88200, that added together give a square (88209 = 297²).

The spelling of 988200 in words is "nine hundred eighty-eight thousand, two hundred".