201801600 has 864 divisors, whose sum is σ = 984077640. Its totient is φ = 38707200.

The previous prime is 201801583. The next prime is 201801659. The reversal of 201801600 is 6108102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15523194 + ... + 15523206.

Almost surely, 2^201801600 is an apocalyptic number.

201801600 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 201801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492038820).

201801600 is an abundant number, since it is smaller than the sum of its proper divisors (782276040).

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

201801600 is a wasteful number, since it uses less digits than its factorization.

201801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 201801600 is about 14205.6890012417. The cubic root of 201801600 is about 586.5542713977.

Adding to 201801600 its reverse (6108102), we get a palindrome (207909702).

The spelling of 201801600 in words is "two hundred one million, eight hundred one thousand, six hundred".