201688520 has 64 divisors (see below), whose sum is σ = 496800000. Its totient is φ = 73082880.

The previous prime is 201688483. The next prime is 201688577. The reversal of 201688520 is 25886102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160856 + ... + 162104.

It is an arithmetic number, because the mean of its divisors is an integer number (7762500).

Almost surely, 2^201688520 is an apocalyptic number.

201688520 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 201688520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248400000).

201688520 is an abundant number, since it is smaller than the sum of its proper divisors (295111480).

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

201688520 is a wasteful number, since it uses less digits than its factorization.

201688520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 201688520 is about 14201.7083479418. The cubic root of 201688520 is about 586.4446919067. Note that the first 3 decimals are identical.

The spelling of 201688520 in words is "two hundred one million, six hundred eighty-eight thousand, five hundred twenty".