541088 has 24 divisors (see below), whose sum is σ = 1096452. Its totient is φ = 262656.

The previous prime is 541087. The next prime is 541097. The reversal of 541088 is 880145.

It can be written as a sum of positive squares in 2 ways, for example, as 446224 + 94864 = 668^2 + 308^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 541088.

It is not an unprimeable number, because it can be changed into a prime (541087) 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 3 ways as a sum of consecutive naturals, for example, 956 + ... + 1412.

2⁵⁴¹⁰⁸⁸ 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 541088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548226).

541088 is an abundant number, since it is smaller than the sum of its proper divisors (555364).

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

541088 is a wasteful number, since it uses less digits than its factorization.

541088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 541088 is about 735.5868405566. The cubic root of 541088 is about 81.4871822968.

The spelling of 541088 in words is "five hundred forty-one thousand, eighty-eight".