541568640 has 128 divisors (see below), whose sum is σ = 1740625920. Its totient is φ = 143216640.

The previous prime is 541568567. The next prime is 541568683. The reversal of 541568640 is 46865145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 242730 + ... + 244950.

It is an arithmetic number, because the mean of its divisors is an integer number (13598640).

Almost surely, 2^541568640 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 541568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870312960).

541568640 is an abundant number, since it is smaller than the sum of its proper divisors (1199057280).

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

541568640 is a wasteful number, since it uses less digits than its factorization.

541568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 541568640 is about 23271.6273603717. The cubic root of 541568640 is about 815.1130308562.

The spelling of 541568640 in words is "five hundred forty-one million, five hundred sixty-eight thousand, six hundred forty".