541124096 has 80 divisors (see below), whose sum is σ = 1130308608. Its totient is φ = 258508800.

The previous prime is 541124071. The next prime is 541124099. The reversal of 541124096 is 690421145.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541124099) by changing a digit.

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, 1634651 + ... + 1634981.

Almost surely, 2^541124096 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 541124096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565154304).

541124096 is an abundant number, since it is smaller than the sum of its proper divisors (589184512).

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

541124096 is a wasteful number, since it uses less digits than its factorization.

541124096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 541124096 is about 23262.0741981449. The cubic root of 541124096 is about 814.8899426078.

The spelling of 541124096 in words is "five hundred forty-one million, one hundred twenty-four thousand, ninety-six".