241520768 has 48 divisors (see below), whose sum is σ = 511201050. Its totient is φ = 113639424.

The previous prime is 241520759. The next prime is 241520803. The reversal of 241520768 is 867025142.

It can be written as a sum of positive squares in 3 ways, for example, as 214563904 + 26956864 = 14648^2 + 5192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33728 + ... + 40256.

Almost surely, 2^241520768 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 241520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255600525).

241520768 is an abundant number, since it is smaller than the sum of its proper divisors (269680282).

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

241520768 is an equidigital number, since it uses as much as digits as its factorization.

241520768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6577 (or 6548 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 241520768 is about 15540.9384530021. The cubic root of 241520768 is about 622.7563439433.

The spelling of 241520768 in words is "two hundred forty-one million, five hundred twenty thousand, seven hundred sixty-eight".