541748064 has 384 divisors, whose sum is σ = 1842462720. Its totient is φ = 136857600.

The previous prime is 541748063. The next prime is 541748069. The reversal of 541748064 is 460847145.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541748063) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8085759 + ... + 8085825.

It is an arithmetic number, because the mean of its divisors is an integer number (4798080).

Almost surely, 2^541748064 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 541748064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921231360).

541748064 is an abundant number, since it is smaller than the sum of its proper divisors (1300714656).

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

541748064 is a wasteful number, since it uses less digits than its factorization.

541748064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 541748064 is about 23275.4820358247. The cubic root of 541748064 is about 815.2030377248.

The spelling of 541748064 in words is "five hundred forty-one million, seven hundred forty-eight thousand, sixty-four".