205003680 has 384 divisors, whose sum is σ = 810819072. Its totient is φ = 42467328.

The previous prime is 205003679. The next prime is 205003703. The reversal of 205003680 is 86300502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 205003680.

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 63 ways as a sum of consecutive naturals, for example, 2113392 + ... + 2113488.

It is an arithmetic number, because the mean of its divisors is an integer number (2111508).

Almost surely, 2^205003680 is an apocalyptic number.

205003680 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 205003680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405409536).

205003680 is an abundant number, since it is smaller than the sum of its proper divisors (605815392).

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

205003680 is a wasteful number, since it uses less digits than its factorization.

205003680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 205003680 is about 14317.9495738740. The cubic root of 205003680 is about 589.6403822095.

The spelling of 205003680 in words is "two hundred five million, three thousand, six hundred eighty".