543776640 has 128 divisors (see below), whose sum is σ = 1890933120. Its totient is φ = 131819520.

The previous prime is 543776617. The next prime is 543776641. The reversal of 543776640 is 46677345.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 543776592 and 543776601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (543776641) 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, 8247 + ... + 33993.

It is an arithmetic number, because the mean of its divisors is an integer number (14772915).

Almost surely, 2^543776640 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 543776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945466560).

543776640 is an abundant number, since it is smaller than the sum of its proper divisors (1347156480).

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

543776640 is a wasteful number, since it uses less digits than its factorization.

543776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25780 (or 25768 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 543776640 is about 23319.0188472843. The cubic root of 543776640 is about 816.2192797846.

The spelling of 543776640 in words is "five hundred forty-three million, seven hundred seventy-six thousand, six hundred forty".