201638160 has 300 divisors, whose sum is σ = 744903588. Its totient is φ = 50512896.

The previous prime is 201638153. The next prime is 201638201. The reversal of 201638160 is 61836102.

201638160 is a `hidden beast` number, since 20 + 1 + 638 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6533136 + 195105024 = 2556^2 + 13968^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5449662 + ... + 5449698.

Almost surely, 2^201638160 is an apocalyptic number.

201638160 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 201638160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372451794).

201638160 is an abundant number, since it is smaller than the sum of its proper divisors (543265428).

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

201638160 is a wasteful number, since it uses less digits than its factorization.

201638160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 76 counting only the distinct ones).

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

The square root of 201638160 is about 14199.9352111198. The cubic root of 201638160 is about 586.3958776706.

The spelling of 201638160 in words is "two hundred one million, six hundred thirty-eight thousand, one hundred sixty".