541881760 has 96 divisors (see below), whose sum is σ = 1470655872. Its totient is φ = 184826880.

The previous prime is 541881737. The next prime is 541881787. The reversal of 541881760 is 67188145.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235174 + ... + 237466.

It is an arithmetic number, because the mean of its divisors is an integer number (15319332).

Almost surely, 2^541881760 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 541881760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735327936).

541881760 is an abundant number, since it is smaller than the sum of its proper divisors (928774112).

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

541881760 is a wasteful number, since it uses less digits than its factorization.

541881760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 541881760 is about 23278.3538936927. The cubic root of 541881760 is about 815.2700925227.

It can be divided in two parts, 5418 and 81760, that added together give a palindrome (87178).

The spelling of 541881760 in words is "five hundred forty-one million, eight hundred eighty-one thousand, seven hundred sixty".