541024064 has 112 divisors (see below), whose sum is σ = 1274990592. Its totient is φ = 222953472.

The previous prime is 541024063. The next prime is 541024073. The reversal of 541024064 is 460420145.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541024063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2105024 + ... + 2105280.

Almost surely, 2^541024064 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 541024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637495296).

541024064 is an abundant number, since it is smaller than the sum of its proper divisors (733966528).

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

541024064 is a wasteful number, since it uses less digits than its factorization.

541024064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 541024064 is about 23259.9239895577. The cubic root of 541024064 is about 814.8397260956.

The spelling of 541024064 in words is "five hundred forty-one million, twenty-four thousand, sixty-four".