201330600 has 96 divisors (see below), whose sum is σ = 626730720. Its totient is φ = 53464320.

The previous prime is 201330589. The next prime is 201330607. The reversal of 201330600 is 6033102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201330600.

It is not an unprimeable number, because it can be changed into a prime (201330607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183654 + ... + 184746.

It is an arithmetic number, because the mean of its divisors is an integer number (6528445).

Almost surely, 2^201330600 is an apocalyptic number.

201330600 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 201330600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313365360).

201330600 is an abundant number, since it is smaller than the sum of its proper divisors (425400120).

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

201330600 is a wasteful number, since it uses less digits than its factorization.

201330600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 201330600 is about 14189.1014514662. The cubic root of 201330600 is about 586.0975814697.

Adding to 201330600 its reverse (6033102), we get a palindrome (207363702).

It can be divided in two parts, 201330 and 600, that added together give a triangular number (201930 = T₆₃₅).

The spelling of 201330600 in words is "two hundred one million, three hundred thirty thousand, six hundred".