201760768 has 56 divisors (see below), whose sum is σ = 440375040. Its totient is φ = 91668480.

The previous prime is 201760763. The next prime is 201760781. The reversal of 201760768 is 867067102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (201760763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88993 + ... + 91231.

It is an arithmetic number, because the mean of its divisors is an integer number (7863840).

Almost surely, 2^201760768 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 201760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220187520).

201760768 is an abundant number, since it is smaller than the sum of its proper divisors (238614272).

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

201760768 is an equidigital number, since it uses as much as digits as its factorization.

201760768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 201760768 is about 14204.2517578365. The cubic root of 201760768 is about 586.5147081178.

The spelling of 201760768 in words is "two hundred one million, seven hundred sixty thousand, seven hundred sixty-eight".