54606 has 16 divisors (see below), whose sum is σ = 115200. Its totient is φ = 17208.

The previous prime is 54601. The next prime is 54617. The reversal of 54606 is 60645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁵⁴⁶⁰⁶ is an apocalyptic number.

54606 is an abundant number, since it is smaller than the sum of its proper divisors (60594).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600).

54606 is a wasteful number, since it uses less digits than its factorization.

54606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 54606 is about 233.6792673730. The cubic root of 54606 is about 37.9384970023.

The spelling of 54606 in words is "fifty-four thousand, six hundred six".