541920 has 48 divisors (see below), whose sum is σ = 1708560. Its totient is φ = 144384.

The previous prime is 541901. The next prime is 541927. The reversal of 541920 is 29145.

It is a tau number, because it is divible by the number of its divisors (48).

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 (541927) by changing a digit.

541920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85 + ... + 1044.

It is an arithmetic number, because the mean of its divisors is an integer number (35595).

2⁵⁴¹⁹²⁰ 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 541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854280).

541920 is an abundant number, since it is smaller than the sum of its proper divisors (1166640).

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

541920 is a wasteful number, since it uses less digits than its factorization.

541920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 541920 is about 736.1521581847. The cubic root of 541920 is about 81.5289269643.

The spelling of 541920 in words is "five hundred forty-one thousand, nine hundred twenty".