201641600 has 96 divisors (see below), whose sum is σ = 506773740. Its totient is φ = 79257600.

The previous prime is 201641597. The next prime is 201641617. The reversal of 201641600 is 6146102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 72046144 + 129595456 = 8488^2 + 11384^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194684 + ... + 195716.

Almost surely, 2^201641600 is an apocalyptic number.

201641600 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 201641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253386870).

201641600 is an abundant number, since it is smaller than the sum of its proper divisors (305132140).

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

201641600 is a wasteful number, since it uses less digits than its factorization.

201641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 201641600 is about 14200.0563379164. The cubic root of 201641600 is about 586.3992123409.

Adding to 201641600 its reverse (6146102), we get a palindrome (207787702).

It can be divided in two parts, 20164 and 1600, that multiplied together give a square (32262400 = 5680²).

The spelling of 201641600 in words is "two hundred one million, six hundred forty-one thousand, six hundred".