546624 has 84 divisors (see below), whose sum is σ = 1710436. Its totient is φ = 165888.

The previous prime is 546619. The next prime is 546631. The reversal of 546624 is 426645.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 360000 = 432^2 + 600^2 .

It is a zygodrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 546624.

It is an unprimeable number.

546624 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 11 ways as a sum of consecutive naturals, for example, 7452 + ... + 7524.

2⁵⁴⁶⁶²⁴ 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 546624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855218).

546624 is an abundant number, since it is smaller than the sum of its proper divisors (1163812).

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

546624 is a wasteful number, since it uses less digits than its factorization.

546624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 91 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 546624 is about 739.3402464360. The cubic root of 546624 is about 81.7641447903.

The spelling of 546624 in words is "five hundred forty-six thousand, six hundred twenty-four".