161824 has 24 divisors (see below), whose sum is σ = 343980. Its totient is φ = 74496.

The previous prime is 161807. The next prime is 161831. The reversal of 161824 is 428161.

It can be written as a sum of positive squares in 2 ways, for example, as 144400 + 17424 = 380^2 + 132^2 .

It is a junction number, because it is equal to n+sod(n) for n = 161795 and 161804.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 222 + ... + 610.

2¹⁶¹⁸²⁴ 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 161824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171990).

161824 is an abundant number, since it is smaller than the sum of its proper divisors (182156).

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

161824 is a wasteful number, since it uses less digits than its factorization.

161824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 161824 is about 402.2735387768. The cubic root of 161824 is about 54.4938690744.

Adding to 161824 its reverse (428161), we get a palindrome (589985).

The spelling of 161824 in words is "one hundred sixty-one thousand, eight hundred twenty-four".