541836984 has 192 divisors, whose sum is σ = 1581120000. Its totient is φ = 154192896.

The previous prime is 541836983. The next prime is 541837007. The reversal of 541836984 is 489638145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541836983) 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 47 ways as a sum of consecutive naturals, for example, 6088012 + ... + 6088100.

It is an arithmetic number, because the mean of its divisors is an integer number (8235000).

Almost surely, 2^541836984 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 541836984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790560000).

541836984 is an abundant number, since it is smaller than the sum of its proper divisors (1039283016).

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

541836984 is a wasteful number, since it uses less digits than its factorization.

541836984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 541836984 is about 23277.3921219711. The cubic root of 541836984 is about 815.2476364927.

The spelling of 541836984 in words is "five hundred forty-one million, eight hundred thirty-six thousand, nine hundred eighty-four".