545664 has 96 divisors (see below), whose sum is σ = 1744200. Its totient is φ = 150528.

The previous prime is 545663. The next prime is 545711. The reversal of 545664 is 466545.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (14400) is a multiple of the sum of its prime factors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18802 + ... + 18830.

2⁵⁴⁵⁶⁶⁴ 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 545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872100).

545664 is an abundant number, since it is smaller than the sum of its proper divisors (1198536).

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

545664 is a wasteful number, since it uses less digits than its factorization.

545664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 41 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 545664 is about 738.6907336633. The cubic root of 545664 is about 81.7162510676.

The spelling of 545664 in words is "five hundred forty-five thousand, six hundred sixty-four".