541363640 has 64 divisors (see below), whose sum is σ = 1308000960. Its totient is φ = 200919040.

The previous prime is 541363591. The next prime is 541363643. The reversal of 541363640 is 46363145.

It is a junction number, because it is equal to n+sod(n) for n = 541363597 and 541363606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541363643) 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 15 ways as a sum of consecutive naturals, for example, 42674 + ... + 53886.

It is an arithmetic number, because the mean of its divisors is an integer number (20437515).

Almost surely, 2^541363640 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 541363640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654000480).

541363640 is an abundant number, since it is smaller than the sum of its proper divisors (766637320).

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

541363640 is a wasteful number, since it uses less digits than its factorization.

541363640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11312 (or 11308 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 541363640 is about 23267.2224384433. Note that the first 3 decimals coincide. The cubic root of 541363640 is about 815.0101696198.

The spelling of 541363640 in words is "five hundred forty-one million, three hundred sixty-three thousand, six hundred forty".