541368 has 48 divisors (see below), whose sum is σ = 1500720. Its totient is φ = 176256.

The previous prime is 541363. The next prime is 541369. The reversal of 541368 is 863145.

It is a super-2 number, since 2×541368² = 586158622848, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 541368.

It is not an unprimeable number, because it can be changed into a prime (541361) by changing a digit.

541368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5205 + ... + 5307.

It is an arithmetic number, because the mean of its divisors is an integer number (31265).

2⁵⁴¹³⁶⁸ 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 541368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750360).

541368 is an abundant number, since it is smaller than the sum of its proper divisors (959352).

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

541368 is a wasteful number, since it uses less digits than its factorization.

541368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 181 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 541368 is about 735.7771401722. Note that the first 3 decimals coincide. The cubic root of 541368 is about 81.5012357573.

It can be divided in two parts, 541 and 368, that added together give a palindrome (909).

The spelling of 541368 in words is "five hundred forty-one thousand, three hundred sixty-eight".