54160 has 20 divisors (see below), whose sum is σ = 126108. Its totient is φ = 21632.

The previous prime is 54151. The next prime is 54163. The reversal of 54160 is 6145.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 12544 = 204^2 + 112^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (54163) by changing a digit.

54160 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 3 ways as a sum of consecutive naturals, for example, 259 + ... + 418.

2⁵⁴¹⁶⁰ is an apocalyptic number.

It is an amenable number.

54160 is an abundant number, since it is smaller than the sum of its proper divisors (71948).

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 (63054).

54160 is a wasteful number, since it uses less digits than its factorization.

54160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 54160 is about 232.7230113246. The cubic root of 54160 is about 37.8349256814.

The spelling of 54160 in words is "fifty-four thousand, one hundred sixty".