541120 has 56 divisors (see below), whose sum is σ = 1371600. Its totient is φ = 202752.

The previous prime is 541097. The next prime is 541129. The reversal of 541120 is 21145.

It is a self number, because there is not a number n which added to its sum of digits gives 541120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6036 + ... + 6124.

2⁵⁴¹¹²⁰ 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 541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685800).

541120 is an abundant number, since it is smaller than the sum of its proper divisors (830480).

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

541120 is a wasteful number, since it uses less digits than its factorization.

541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 541120 is about 735.6085915757. The cubic root of 541120 is about 81.4887886519.

Adding to 541120 its reverse (21145), we get a palindrome (562265).

The spelling of 541120 in words is "five hundred forty-one thousand, one hundred twenty".