204165630 has 128 divisors (see below), whose sum is σ = 567336960. Its totient is φ = 52202880.

The previous prime is 204165617. The next prime is 204165649. The reversal of 204165630 is 36561402.

204165630 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 656 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 204165594 and 204165603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1068835 + ... + 1069025.

It is an arithmetic number, because the mean of its divisors is an integer number (4432320).

Almost surely, 2^204165630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204165630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283668480).

204165630 is an abundant number, since it is smaller than the sum of its proper divisors (363171330).

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

204165630 is a wasteful number, since it uses less digits than its factorization.

204165630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 204165630 is about 14288.6538904125. The cubic root of 204165630 is about 588.8358063910.

The spelling of 204165630 in words is "two hundred four million, one hundred sixty-five thousand, six hundred thirty".