160064 has 28 divisors (see below), whose sum is σ = 330708. Its totient is φ = 76800.

The previous prime is 160049. The next prime is 160073. The reversal of 160064 is 460061.

It can be written as a sum of positive squares in 2 ways, for example, as 6400 + 153664 = 80^2 + 392^2 .

It is a congruent number.

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, 2594 + ... + 2654.

It is an arithmetic number, because the mean of its divisors is an integer number (11811).

2¹⁶⁰⁰⁶⁴ 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 160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165354).

160064 is an abundant number, since it is smaller than the sum of its proper divisors (170644).

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

160064 is an equidigital number, since it uses as much as digits as its factorization.

160064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 160064 is about 400.0799920016. The cubic root of 160064 is about 54.2955898140.

It can be divided in two parts, 1600 and 64, that multiplied together give a square (102400 = 320²).

The spelling of 160064 in words is "one hundred sixty thousand, sixty-four".