200064 has 32 divisors (see below), whose sum is σ = 532440. Its totient is φ = 66560.

The previous prime is 200063. The next prime is 200087. The reversal of 200064 is 460002.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124 + ... + 644.

2²⁰⁰⁰⁶⁴ is an apocalyptic number.

200064 is a gapful number since it is divisible by the number (24) 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 200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266220).

200064 is an abundant number, since it is smaller than the sum of its proper divisors (332376).

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

200064 is an equidigital number, since it uses as much as digits as its factorization.

200064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 200064 is about 447.2851439518. The cubic root of 200064 is about 58.4865920035.

Adding to 200064 its reverse (460002), we get a palindrome (660066).

The spelling of 200064 in words is "two hundred thousand, sixty-four".