161668144 has 40 divisors (see below), whose sum is σ = 345580560. Its totient is φ = 72652800.

The previous prime is 161668141. The next prime is 161668151. The reversal of 161668144 is 441866161.

It is a super-2 number, since 2×161668144² = 52273177568809472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161668141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10504 + ... + 20824.

It is an arithmetic number, because the mean of its divisors is an integer number (8639514).

Almost surely, 2^161668144 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 161668144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172790280).

161668144 is an abundant number, since it is smaller than the sum of its proper divisors (183912416).

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

161668144 is a wasteful number, since it uses less digits than its factorization.

161668144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10429 (or 10423 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 161668144 is about 12714.8788433079. The cubic root of 161668144 is about 544.7636873538.

It can be divided in two parts, 16166 and 8144, that added together give a triangular number (24310 = T₂₂₀).

The spelling of 161668144 in words is "one hundred sixty-one million, six hundred sixty-eight thousand, one hundred forty-four".