543648 has 48 divisors (see below), whose sum is σ = 1632960. Its totient is φ = 155136.

The previous prime is 543637. The next prime is 543659. The reversal of 543648 is 846345.

It is an interprime number because it is at equal distance from previous prime (543637) and next prime (543659).

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 5 + 4⁵ + 6⁷ + 3³ + 4⁹ + 8³ .

It is an unprimeable number.

543648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268 + ... + 1076.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁵⁴³⁶⁴⁸ 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 543648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816480).

543648 is an abundant number, since it is smaller than the sum of its proper divisors (1089312).

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

543648 is a wasteful number, since it uses less digits than its factorization.

543648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 543648 is about 737.3248944665. The cubic root of 543648 is about 81.6154910997.

The spelling of 543648 in words is "five hundred forty-three thousand, six hundred forty-eight".