205604320 has 96 divisors (see below), whose sum is σ = 522547200. Its totient is φ = 76202496.

The previous prime is 205604317. The next prime is 205604323. The reversal of 205604320 is 23406502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (205604317) and next prime (205604323).

It is a junction number, because it is equal to n+sod(n) for n = 205604291 and 205604300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205604323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142161 + ... + 143599.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2^205604320 is an apocalyptic number.

205604320 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 205604320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261273600).

205604320 is an abundant number, since it is smaller than the sum of its proper divisors (316942880).

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

205604320 is a wasteful number, since it uses less digits than its factorization.

205604320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 205604320 is about 14338.9093030119. The cubic root of 205604320 is about 590.2156828987.

The spelling of 205604320 in words is "two hundred five million, six hundred four thousand, three hundred twenty".