201736960 has 144 divisors (see below), whose sum is σ = 522740736. Its totient is φ = 74317824.

The previous prime is 201736957. The next prime is 201736961. The reversal of 201736960 is 69637102.

201736960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (201736961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1588417 + ... + 1588543.

It is an arithmetic number, because the mean of its divisors is an integer number (3630144).

Almost surely, 2^201736960 is an apocalyptic number.

201736960 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 201736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261370368).

201736960 is an abundant number, since it is smaller than the sum of its proper divisors (321003776).

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

201736960 is a wasteful number, since it uses less digits than its factorization.

201736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 201736960 is about 14203.4136741841. The cubic root of 201736960 is about 586.4916374095.

The spelling of 201736960 in words is "two hundred one million, seven hundred thirty-six thousand, nine hundred sixty".