543641600 has 78 divisors (see below), whose sum is σ = 1348320510. Its totient is φ = 217415680.

The previous prime is 543641599. The next prime is 543641603. The reversal of 543641600 is 6146345.

It is a happy number.

543641600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 6885376 + 536756224 = 2624^2 + 23168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (543641603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 99746 + ... + 105054.

Almost surely, 2^543641600 is an apocalyptic number.

543641600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 543641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674160255).

543641600 is an abundant number, since it is smaller than the sum of its proper divisors (804678910).

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

543641600 is an equidigital number, since it uses as much as digits as its factorization.

543641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5343 (or 5316 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 543641600 is about 23316.1231768920. The cubic root of 543641600 is about 816.1517083047.

Adding to 543641600 its reverse (6146345), we get a palindrome (549787945).

The spelling of 543641600 in words is "five hundred forty-three million, six hundred forty-one thousand, six hundred".