204871680 has 480 divisors, whose sum is σ = 832431600. Its totient is φ = 47775744.

The previous prime is 204871657. The next prime is 204871687. The reversal of 204871680 is 86178402.

It is a tau number, because it is divible by the number of its divisors (480).

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 (204871687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10782711 + ... + 10782729.

Almost surely, 2^204871680 is an apocalyptic number.

204871680 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 204871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416215800).

204871680 is an abundant number, since it is smaller than the sum of its proper divisors (627559920).

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

204871680 is a wasteful number, since it uses less digits than its factorization.

204871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 204871680 is about 14313.3392330371. The cubic root of 204871680 is about 589.5138003490.

The spelling of 204871680 in words is "two hundred four million, eight hundred seventy-one thousand, six hundred eighty".