541160 has 32 divisors (see below), whose sum is σ = 1239840. Its totient is φ = 212544.

The previous prime is 541153. The next prime is 541181. The reversal of 541160 is 61145.

541160 = T₇₄ + T₇₅ + ... + T₁₅₃.

It is a happy number.

It is an unprimeable number.

541160 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 7 ways as a sum of consecutive naturals, for example, 3239 + ... + 3401.

It is an arithmetic number, because the mean of its divisors is an integer number (38745).

2⁵⁴¹¹⁶⁰ 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 541160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619920).

541160 is an abundant number, since it is smaller than the sum of its proper divisors (698680).

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

541160 is a wasteful number, since it uses less digits than its factorization.

541160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 541160 is about 735.6357794452. The cubic root of 541160 is about 81.4907965067.

The spelling of 541160 in words is "five hundred forty-one thousand, one hundred sixty".