168552 has 24 divisors (see below), whose sum is σ = 456690. Its totient is φ = 56160.

The previous prime is 168541. The next prime is 168559. The reversal of 168552 is 255861.

It can be written as a sum of positive squares in only one way, i.e., 133956 + 34596 = 366^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (168559) by changing a digit.

168552 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 5 ways as a sum of consecutive naturals, for example, 1099 + ... + 1242.

2¹⁶⁸⁵⁵² is an apocalyptic number.

168552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

168552 is an abundant number, since it is smaller than the sum of its proper divisors (288138).

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

168552 is a wasteful number, since it uses less digits than its factorization.

168552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2346 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 168552 is about 410.5508494693. The cubic root of 168552 is about 55.2388510362.

The spelling of 168552 in words is "one hundred sixty-eight thousand, five hundred fifty-two".