541840 has 40 divisors (see below), whose sum is σ = 1359288. Its totient is φ = 199680.

The previous prime is 541837. The next prime is 541859. The reversal of 541840 is 48145.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 541696 = 12^2 + 736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 780 + ... + 1300.

2⁵⁴¹⁸⁴⁰ 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 541840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679644).

541840 is an abundant number, since it is smaller than the sum of its proper divisors (817448).

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

541840 is a wasteful number, since it uses less digits than its factorization.

541840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 541840 is about 736.0978195865. The cubic root of 541840 is about 81.5249149114.

Adding to 541840 its reverse (48145), we get a palindrome (589985).

The spelling of 541840 in words is "five hundred forty-one thousand, eight hundred forty".