545688 has 96 divisors (see below), whose sum is σ = 1769040. Its totient is φ = 149760.

The previous prime is 545663. The next prime is 545711. The reversal of 545688 is 886545.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 545688.

It is an unprimeable number.

545688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10270 + ... + 10322.

2⁵⁴⁵⁶⁸⁸ 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 545688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884520).

545688 is an abundant number, since it is smaller than the sum of its proper divisors (1223352).

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

545688 is a wasteful number, since it uses less digits than its factorization.

545688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 82 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 545688 is about 738.7069784427. The cubic root of 545688 is about 81.7174490950.

The spelling of 545688 in words is "five hundred forty-five thousand, six hundred eighty-eight".