204040620 has 240 divisors, whose sum is σ = 770837760. Its totient is φ = 44136576.

The previous prime is 204040589. The next prime is 204040649. The reversal of 204040620 is 26040402.

204040620 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 40 + 620 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 204040593 and 204040602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 214987 + ... + 215933.

It is an arithmetic number, because the mean of its divisors is an integer number (3211824).

Almost surely, 2^204040620 is an apocalyptic number.

204040620 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 204040620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385418880).

204040620 is an abundant number, since it is smaller than the sum of its proper divisors (566797140).

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

204040620 is a wasteful number, since it uses less digits than its factorization.

204040620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204040620 is about 14284.2787707325. The cubic root of 204040620 is about 588.7156010573.

The spelling of 204040620 in words is "two hundred four million, forty thousand, six hundred twenty".