161408 has 32 divisors (see below), whose sum is σ = 349860. Its totient is φ = 73728.

The previous prime is 161407. The next prime is 161411. The reversal of 161408 is 804161.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 7744 = 392^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 161408.

It is not an unprimeable number, because it can be changed into a prime (161407) 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 3 ways as a sum of consecutive naturals, for example, 1616 + ... + 1712.

2¹⁶¹⁴⁰⁸ 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 161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174930).

161408 is an abundant number, since it is smaller than the sum of its proper divisors (188452).

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

161408 is an equidigital number, since it uses as much as digits as its factorization.

161408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 161408 is about 401.7561449437. The cubic root of 161408 is about 54.4471333147.

Adding to 161408 its reverse (804161), we get a palindrome (965569).

The spelling of 161408 in words is "one hundred sixty-one thousand, four hundred eight".