204675840 has 216 divisors, whose sum is σ = 719038320. Its totient is φ = 53747712.

The previous prime is 204675833. The next prime is 204675853. The reversal of 204675840 is 48576402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204675795 and 204675804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1255599 + ... + 1255761.

Almost surely, 2^204675840 is an apocalyptic number.

204675840 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 204675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359519160).

204675840 is an abundant number, since it is smaller than the sum of its proper divisors (514362480).

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

204675840 is a wasteful number, since it uses less digits than its factorization.

204675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 204675840 is about 14306.4964264491. The cubic root of 204675840 is about 589.3258986843.

The spelling of 204675840 in words is "two hundred four million, six hundred seventy-five thousand, eight hundred forty".