200089600 has 84 divisors (see below), whose sum is σ = 496699794. Its totient is φ = 79953920.

The previous prime is 200089597. The next prime is 200089619. The reversal of 200089600 is 6980002.

It can be written as a sum of positive squares in 3 ways, for example, as 185831424 + 14258176 = 13632^2 + 3776^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204312 + ... + 205288.

Almost surely, 2^200089600 is an apocalyptic number.

200089600 is a gapful number since it is divisible by the number (20) 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 200089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248349897).

200089600 is an abundant number, since it is smaller than the sum of its proper divisors (296610194).

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

200089600 is an frugal number, since it uses more digits than its factorization.

200089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 200089600 is about 14145.3031073922. The cubic root of 200089600 is about 584.8908652676.

The spelling of 200089600 in words is "two hundred million, eighty-nine thousand, six hundred".