161588 has 24 divisors (see below), whose sum is σ = 336000. Its totient is φ = 66528.

The previous prime is 161573. The next prime is 161591. The reversal of 161588 is 885161.

It is a super-2 number, since 2×161588² = 52221363488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 161588.

It is a congruent number.

It is an unprimeable number.

161588 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 7 ways as a sum of consecutive naturals, for example, 713 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (14000).

2¹⁶¹⁵⁸⁸ 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 161588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168000).

161588 is an abundant number, since it is smaller than the sum of its proper divisors (174412).

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

161588 is a wasteful number, since it uses less digits than its factorization.

161588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 237 counting only the distinct ones).

The product of its digits is 1920, while the sum is 29.

The square root of 161588 is about 401.9800990099. The cubic root of 161588 is about 54.4673653625.

The spelling of 161588 in words is "one hundred sixty-one thousand, five hundred eighty-eight".