204533120 has 128 divisors (see below), whose sum is σ = 565120800. Its totient is φ = 69959680.

The previous prime is 204533099. The next prime is 204533141. The reversal of 204533120 is 21335402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (204533099) and next prime (204533141).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 204533092 and 204533101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118826 + ... + 120534.

Almost surely, 2^204533120 is an apocalyptic number.

204533120 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 204533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282560400).

204533120 is an abundant number, since it is smaller than the sum of its proper divisors (360587680).

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

204533120 is a wasteful number, since it uses less digits than its factorization.

204533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 204533120 is about 14301.5076128358. The cubic root of 204533120 is about 589.1888882953.

Adding to 204533120 its reverse (21335402), we get a palindrome (225868522).

The spelling of 204533120 in words is "two hundred four million, five hundred thirty-three thousand, one hundred twenty".