241536 has 64 divisors (see below), whose sum is σ = 697680. Its totient is φ = 73728.

The previous prime is 241517. The next prime is 241537. The reversal of 241536 is 635142.

241536 = T₁₆₀ + T₁₆₁ + ... + T₁₇₆.

It is a happy number.

241536 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 (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241537) by changing a digit.

241536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6510 + ... + 6546.

2²⁴¹⁵³⁶ 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 241536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348840).

241536 is an abundant number, since it is smaller than the sum of its proper divisors (456144).

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

241536 is a wasteful number, since it uses less digits than its factorization.

241536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 59 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 241536 is about 491.4631217090. The cubic root of 241536 is about 62.2769435468.

Adding to 241536 its reverse (635142), we get a palindrome (876678).

It can be divided in two parts, 241 and 536, that added together give a palindrome (777).

The spelling of 241536 in words is "two hundred forty-one thousand, five hundred thirty-six".