204947064 has 128 divisors (see below), whose sum is σ = 658368000. Its totient is φ = 57860352.

The previous prime is 204947063. The next prime is 204947077. The reversal of 204947064 is 460749402.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204947063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133807 + ... + 135329.

It is an arithmetic number, because the mean of its divisors is an integer number (5143500).

Almost surely, 2^204947064 is an apocalyptic number.

204947064 is a gapful number since it is divisible by the number (24) 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 204947064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329184000).

204947064 is an abundant number, since it is smaller than the sum of its proper divisors (453420936).

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

204947064 is a wasteful number, since it uses less digits than its factorization.

204947064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 204947064 is about 14315.9723386154. The cubic root of 204947064 is about 589.5860967555.

The spelling of 204947064 in words is "two hundred four million, nine hundred forty-seven thousand, sixty-four".