160668144 has 320 divisors, whose sum is σ = 585518080. Its totient is φ = 41057280.

The previous prime is 160668127. The next prime is 160668187. The reversal of 160668144 is 441866061.

160668144 is a `hidden beast` number, since 1 + 606 + 6 + 8 + 1 + 44 = 666.

160668144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 160668099 and 160668108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2397999 + ... + 2398065.

It is an arithmetic number, because the mean of its divisors is an integer number (1829744).

Almost surely, 2^160668144 is an apocalyptic number.

160668144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160668144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292759040).

160668144 is an abundant number, since it is smaller than the sum of its proper divisors (424849936).

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

160668144 is a wasteful number, since it uses less digits than its factorization.

160668144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 160668144 is about 12675.4938365335. The cubic root of 160668144 is about 543.6381496454.

The spelling of 160668144 in words is "one hundred sixty million, six hundred sixty-eight thousand, one hundred forty-four".