204356640 has 96 divisors (see below), whose sum is σ = 658760256. Its totient is φ = 53222400.

The previous prime is 204356639. The next prime is 204356651. The reversal of 204356640 is 46653402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 204356598 and 204356607.

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, 15690 + ... + 25590.

It is an arithmetic number, because the mean of its divisors is an integer number (6862086).

Almost surely, 2^204356640 is an apocalyptic number.

204356640 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 204356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329380128).

204356640 is an abundant number, since it is smaller than the sum of its proper divisors (454403616).

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

204356640 is a wasteful number, since it uses less digits than its factorization.

204356640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9962 (or 9954 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 204356640 is about 14295.3363024449. The cubic root of 204356640 is about 589.0193803357.

The spelling of 204356640 in words is "two hundred four million, three hundred fifty-six thousand, six hundred forty".