201680640 has 432 divisors, whose sum is σ = 830321856. Its totient is φ = 44236800.

The previous prime is 201680603. The next prime is 201680651. The reversal of 201680640 is 46086102.

201680640 is a `hidden beast` number, since 2 + 0 + 16 + 8 + 0 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3306210 + ... + 3306270.

Almost surely, 2^201680640 is an apocalyptic number.

201680640 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 201680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415160928).

201680640 is an abundant number, since it is smaller than the sum of its proper divisors (628641216).

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

201680640 is a wasteful number, since it uses less digits than its factorization.

201680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 201680640 is about 14201.4309138199. The cubic root of 201680640 is about 586.4370543139.

The spelling of 201680640 in words is "two hundred one million, six hundred eighty thousand, six hundred forty".