541008 has 90 divisors (see below), whose sum is σ = 1732094. Its totient is φ = 156672.

The previous prime is 541007. The next prime is 541027. The reversal of 541008 is 800145.

It can be written as a sum of positive squares in 3 ways, for example, as 121104 + 419904 = 348^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541001) 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 17 ways as a sum of consecutive naturals, for example, 31816 + ... + 31832.

2⁵⁴¹⁰⁰⁸ 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 541008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866047).

541008 is an abundant number, since it is smaller than the sum of its proper divisors (1191086).

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

541008 is a wasteful number, since it uses less digits than its factorization.

541008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 541008 is about 735.5324601947. The cubic root of 541008 is about 81.4831661319.

The spelling of 541008 in words is "five hundred forty-one thousand, eight".