161888 has 12 divisors (see below), whose sum is σ = 318780. Its totient is φ = 80928.

The previous prime is 161881. The next prime is 161911. The reversal of 161888 is 888161.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 5059 = 161888 / (1 + 6 + 1 + 8 + 8 + 8).

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 161888.

It is not an unprimeable number, because it can be changed into a prime (161881) 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 as a sum of consecutive naturals, namely, 2498 + ... + 2561.

It is an arithmetic number, because the mean of its divisors is an integer number (26565).

2¹⁶¹⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

161888 is a deficient number, since it is larger than the sum of its proper divisors (156892).

161888 is an equidigital number, since it uses as much as digits as its factorization.

161888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5061 counting only the distinct ones).

The product of its digits is 3072, while the sum is 32.

The square root of 161888 is about 402.3530787753. The cubic root of 161888 is about 54.5010520797.

The spelling of 161888 in words is "one hundred sixty-one thousand, eight hundred eighty-eight".