241689168 has 90 divisors (see below), whose sum is σ = 786848634. Its totient is φ = 69052032.

The previous prime is 241689163. The next prime is 241689229. The reversal of 241689168 is 861986142.

241689168 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 can be written as a sum of positive squares in only one way, i.e., 173923344 + 67765824 = 13188^2 + 8232^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241689163) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10071 + ... + 24182.

Almost surely, 2^241689168 is an apocalyptic number.

241689168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

241689168 is an abundant number, since it is smaller than the sum of its proper divisors (545159466).

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

241689168 is a wasteful number, since it uses less digits than its factorization.

241689168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34281 (or 34265 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 241689168 is about 15546.3554571481. The cubic root of 241689168 is about 622.9010489648.

The spelling of 241689168 in words is "two hundred forty-one million, six hundred eighty-nine thousand, one hundred sixty-eight".