241536736 has 48 divisors (see below), whose sum is σ = 545015520. Its totient is φ = 103219200.

The previous prime is 241536727. The next prime is 241536739. The reversal of 241536736 is 637635142.

241536736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 241536695 and 241536704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241536739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88480 + ... + 91168.

It is an arithmetic number, because the mean of its divisors is an integer number (11354490).

Almost surely, 2^241536736 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 241536736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272507760).

241536736 is an abundant number, since it is smaller than the sum of its proper divisors (303478784).

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

241536736 is a wasteful number, since it uses less digits than its factorization.

241536736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3099 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The square root of 241536736 is about 15541.4521844003. The cubic root of 241536736 is about 622.7700680277.

The spelling of 241536736 in words is "two hundred forty-one million, five hundred thirty-six thousand, seven hundred thirty-six".