59168 has 18 divisors (see below), whose sum is σ = 119259. Its totient is φ = 28896.

The previous prime is 59167. The next prime is 59183. The reversal of 59168 is 86195.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 29584 + 29584 = 172^2 + 172^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=172.

It is a Duffinian number.

Its product of digits (2160) is a multiple of the sum of its prime divisors (45).

It is a nialpdrome in base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 59168.

It is not an unprimeable number, because it can be changed into a prime (59167) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 1355 + ... + 1397.

2^{59168} 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 59168

59168 is an abundant number, since it is smaller than the sum of its proper divisors (60091).

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

59168 is an equidigital number, since it uses as much as digits as its factorization.

59168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 45 counting only the distinct ones).

The product of its digits is 2160, while the sum is 29.

The square root of 59168 is about 243.2447327282. The cubic root of 59168 is about 38.9668796169.

The spelling of 59168 in words is "fifty-nine thousand, one hundred sixty-eight".

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