545600 has 84 divisors (see below), whose sum is σ = 1511808. Its totient is φ = 192000.

The previous prime is 545599. The next prime is 545609. The reversal of 545600 is 6545.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 545600.

It is not an unprimeable number, because it can be changed into a prime (545609) 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, 17585 + ... + 17615.

2⁵⁴⁵⁶⁰⁰ is an apocalyptic number.

545600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755904).

545600 is an abundant number, since it is smaller than the sum of its proper divisors (966208).

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

545600 is a wasteful number, since it uses less digits than its factorization.

545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 545600 is about 738.6474125048. The cubic root of 545600 is about 81.7130561561.

The spelling of 545600 in words is "five hundred forty-five thousand, six hundred".