541980 has 36 divisors (see below), whose sum is σ = 1644552. Its totient is φ = 144480.

The previous prime is 541967. The next prime is 541987. The reversal of 541980 is 89145.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541987) by changing a digit.

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, 1326 + ... + 1685.

It is an arithmetic number, because the mean of its divisors is an integer number (45682).

2⁵⁴¹⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

541980 is an abundant number, since it is smaller than the sum of its proper divisors (1102572).

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

541980 is a wasteful number, since it uses less digits than its factorization.

541980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 541980 is about 736.1929095013. The cubic root of 541980 is about 81.5319357449.

It can be divided in two parts, 541 and 980, that added together give a square (1521 = 39²).

The spelling of 541980 in words is "five hundred forty-one thousand, nine hundred eighty".