201638016 has 96 divisors (see below), whose sum is σ = 586317420. Its totient is φ = 66508800.

The previous prime is 201638011. The next prime is 201638029. The reversal of 201638016 is 610836102.

201638016 is a `hidden beast` number, since 20 + 1 + 638 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 187799616 + 13838400 = 13704^2 + 3720^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (201638011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115486 + ... + 117218.

Almost surely, 2^201638016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293158710).

201638016 is an abundant number, since it is smaller than the sum of its proper divisors (384679404).

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

201638016 is a wasteful number, since it uses less digits than its factorization.

201638016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 201638016 is about 14199.9301406732. The cubic root of 201638016 is about 586.3957380789.

The spelling of 201638016 in words is "two hundred one million, six hundred thirty-eight thousand, sixteen".