541842768 has 120 divisors (see below), whose sum is σ = 1612564200. Its totient is φ = 169254912.

The previous prime is 541842767. The next prime is 541842773. The reversal of 541842768 is 867248145.

541842768 is a `hidden beast` number, since 541 + 8 + 42 + 7 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25280784 + 516561984 = 5028^2 + 22728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541842767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951988 + ... + 952556.

It is an arithmetic number, because the mean of its divisors is an integer number (13438035).

Almost surely, 2^541842768 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 541842768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806282100).

541842768 is an abundant number, since it is smaller than the sum of its proper divisors (1070721432).

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

541842768 is a wasteful number, since it uses less digits than its factorization.

541842768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 980 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 541842768 is about 23277.5163623613. The cubic root of 541842768 is about 815.2505373501.

The spelling of 541842768 in words is "five hundred forty-one million, eight hundred forty-two thousand, seven hundred sixty-eight".