241152768 has 144 divisors (see below), whose sum is σ = 721123200. Its totient is φ = 79488000.

The previous prime is 241152763. The next prime is 241152811. The reversal of 241152768 is 867251142.

241152768 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (241152761) 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, 960643 + ... + 960893.

It is an arithmetic number, because the mean of its divisors is an integer number (5007800).

Almost surely, 2^241152768 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 241152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360561600).

241152768 is an abundant number, since it is smaller than the sum of its proper divisors (479970432).

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

241152768 is a wasteful number, since it uses less digits than its factorization.

241152768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 395 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 241152768 is about 15529.0942427432. The cubic root of 241152768 is about 622.4398896813.

The spelling of 241152768 in words is "two hundred forty-one million, one hundred fifty-two thousand, seven hundred sixty-eight".