201536160 has 96 divisors (see below), whose sum is σ = 725542272. Its totient is φ = 46064640.

The previous prime is 201536149. The next prime is 201536161. The reversal of 201536160 is 61635102.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201536160.

It is not an unprimeable number, because it can be changed into a prime (201536161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26631 + ... + 33350.

It is an arithmetic number, because the mean of its divisors is an integer number (7557732).

Almost surely, 2^201536160 is an apocalyptic number.

201536160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201536160 is an abundant number, since it is smaller than the sum of its proper divisors (524006112).

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

201536160 is a wasteful number, since it uses less digits than its factorization.

201536160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60006 (or 59998 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 201536160 is about 14196.3431911179. The cubic root of 201536160 is about 586.2969835792.

The spelling of 201536160 in words is "two hundred one million, five hundred thirty-six thousand, one hundred sixty".