541057968 has 140 divisors (see below), whose sum is σ = 1715021928. Its totient is φ = 163918080.

The previous prime is 541057943. The next prime is 541057981. The reversal of 541057968 is 869750145.

541057968 is a `hidden beast` number, since 5 + 4 + 10 + 579 + 68 = 666.

541057968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 126196 + ... + 130412.

Almost surely, 2^541057968 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 541057968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857510964).

541057968 is an abundant number, since it is smaller than the sum of its proper divisors (1173963960).

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

541057968 is a wasteful number, since it uses less digits than its factorization.

541057968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 541057968 is about 23260.6527853369. The cubic root of 541057968 is about 814.8567467489.

The spelling of 541057968 in words is "five hundred forty-one million, fifty-seven thousand, nine hundred sixty-eight".