241832160 has 144 divisors (see below), whose sum is σ = 853856640. Its totient is φ = 62254080.

The previous prime is 241832141. The next prime is 241832161. The reversal of 241832160 is 61238142.

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

It is a super-2 number, since 2×241832160² = 116965587220531200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241832161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38865 + ... + 44655.

It is an arithmetic number, because the mean of its divisors is an integer number (5929560).

Almost surely, 2^241832160 is an apocalyptic number.

241832160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426928320).

241832160 is an abundant number, since it is smaller than the sum of its proper divisors (612024480).

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

241832160 is a wasteful number, since it uses less digits than its factorization.

241832160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 241832160 is about 15550.9536685053. The cubic root of 241832160 is about 623.0238682974.

The spelling of 241832160 in words is "two hundred forty-one million, eight hundred thirty-two thousand, one hundred sixty".