201248768 has 52 divisors (see below), whose sum is σ = 460006560. Its totient is φ = 86237184.

The previous prime is 201248759. The next prime is 201248797. The reversal of 201248768 is 867842102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25163 + ... + 32181.

It is an arithmetic number, because the mean of its divisors is an integer number (8846280).

Almost surely, 2^201248768 is an apocalyptic number.

201248768 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 201248768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230003280).

201248768 is an abundant number, since it is smaller than the sum of its proper divisors (258757792).

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

201248768 is an frugal number, since it uses more digits than its factorization.

201248768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7050 (or 7028 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 201248768 is about 14186.2175367502. The cubic root of 201248768 is about 586.0181631120.

The spelling of 201248768 in words is "two hundred one million, two hundred forty-eight thousand, seven hundred sixty-eight".