201643600 has 60 divisors (see below), whose sum is σ = 489537244. Its totient is φ = 79810560.

The previous prime is 201643597. The next prime is 201643601. The reversal of 201643600 is 6346102.

It can be written as a sum of positive squares in 6 ways, for example, as 7096896 + 194546704 = 2664^2 + 13948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201643601) 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, 36202 + ... + 41398.

Almost surely, 2^201643600 is an apocalyptic number.

201643600 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 201643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244768622).

201643600 is an abundant number, since it is smaller than the sum of its proper divisors (287893644).

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

201643600 is a wasteful number, since it uses less digits than its factorization.

201643600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 201643600 is about 14200.1267599976. The cubic root of 201643600 is about 586.4011510853.

Adding to 201643600 its reverse (6346102), we get a palindrome (207989702).

It can be divided in two parts, 20164 and 3600, that multiplied together give a square (72590400 = 8520²).

The spelling of 201643600 in words is "two hundred one million, six hundred forty-three thousand, six hundred".