204140640 has 288 divisors, whose sum is σ = 750290688. Its totient is φ = 46182400.

The previous prime is 204140627. The next prime is 204140653. The reversal of 204140640 is 46041402.

It is an interprime number because it is at equal distance from previous prime (204140627) and next prime (204140653).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4979020 + ... + 4979060.

It is an arithmetic number, because the mean of its divisors is an integer number (2605176).

Almost surely, 2^204140640 is an apocalyptic number.

204140640 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 204140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375145344).

204140640 is an abundant number, since it is smaller than the sum of its proper divisors (546150048).

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

204140640 is a wasteful number, since it uses less digits than its factorization.

204140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 204140640 is about 14287.7793935937. The cubic root of 204140640 is about 588.8117807878.

The spelling of 204140640 in words is "two hundred four million, one hundred forty thousand, six hundred forty".