54660 has 24 divisors (see below), whose sum is σ = 153216. Its totient is φ = 14560.

The previous prime is 54647. The next prime is 54667. The reversal of 54660 is 6645.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54667) by changing a digit.

54660 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 7 ways as a sum of consecutive naturals, for example, 396 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2⁵⁴⁶⁶⁰ is an apocalyptic number.

It is an amenable number.

54660 is an abundant number, since it is smaller than the sum of its proper divisors (98556).

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 (76608).

54660 is a wasteful number, since it uses less digits than its factorization.

54660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 921 counting only the distinct ones).

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

The square root of 54660 is about 233.7947818066. The cubic root of 54660 is about 37.9509987048.

It can be divided in two parts, 546 and 60, that added together give a palindrome (606).

The spelling of 54660 in words is "fifty-four thousand, six hundred sixty".