201360768 has 128 divisors (see below), whose sum is σ = 638046720. Its totient is φ = 55013376.

The previous prime is 201360763. The next prime is 201360773. The reversal of 201360768 is 867063102.

It is an interprime number because it is at equal distance from previous prime (201360763) and next prime (201360773).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201360763) 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, 60196 + ... + 63452.

It is an arithmetic number, because the mean of its divisors is an integer number (4984740).

Almost surely, 2^201360768 is an apocalyptic number.

201360768 is a gapful number since it is divisible by the number (28) 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 201360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319023360).

201360768 is an abundant number, since it is smaller than the sum of its proper divisors (436685952).

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

201360768 is a wasteful number, since it uses less digits than its factorization.

201360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 201360768 is about 14190.1644810763. The cubic root of 201360768 is about 586.1268542327.

The spelling of 201360768 in words is "two hundred one million, three hundred sixty thousand, seven hundred sixty-eight".