541880 has 64 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 190080.

The previous prime is 541859. The next prime is 541889. The reversal of 541880 is 88145.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541889) by changing a digit.

541880 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 15 ways as a sum of consecutive naturals, for example, 17465 + ... + 17495.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2⁵⁴¹⁸⁸⁰ 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 541880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

541880 is an abundant number, since it is smaller than the sum of its proper divisors (840520).

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

541880 is a wasteful number, since it uses less digits than its factorization.

541880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 541880 is about 736.1249893870. The cubic root of 541880 is about 81.5269209872.

The spelling of 541880 in words is "five hundred forty-one thousand, eight hundred eighty".