161568 has 96 divisors (see below), whose sum is σ = 544320. Its totient is φ = 46080.

The previous prime is 161563. The next prime is 161569. The reversal of 161568 is 865161.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×161568² = 52208437248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161561) by changing a digit.

161568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9496 + ... + 9512.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2¹⁶¹⁵⁶⁸ is an apocalyptic number.

161568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

161568 is an abundant number, since it is smaller than the sum of its proper divisors (382752).

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

161568 is a wasteful number, since it uses less digits than its factorization.

161568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 33 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 161568 is about 401.9552213867. The cubic root of 161568 is about 54.4651180994.

It can be divided in two parts, 161 and 568, that added together give a 6-th power (729 = 3⁶).

The spelling of 161568 in words is "one hundred sixty-one thousand, five hundred sixty-eight".