201640608 has 72 divisors (see below), whose sum is σ = 617535828. Its totient is φ = 62042112.

The previous prime is 201640601. The next prime is 201640619. The reversal of 201640608 is 806046102.

201640608 is a `hidden beast` number, since 2 + 0 + 16 + 40 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 180956304 + 20684304 = 13452^2 + 4548^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (201640601) 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, 23185 + ... + 30672.

Almost surely, 2^201640608 is an apocalyptic number.

It is an amenable number.

201640608 is an abundant number, since it is smaller than the sum of its proper divisors (415895220).

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

201640608 is a wasteful number, since it uses less digits than its factorization.

201640608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53886 (or 53875 counting only the distinct ones).

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

The square root of 201640608 is about 14200.0214084346. The cubic root of 201640608 is about 586.3982507189.

It can be divided in two parts, 2016 and 40608, that added together give a palindrome (42624).

The spelling of 201640608 in words is "two hundred one million, six hundred forty thousand, six hundred eight".