64160 has 24 divisors (see below), whose sum is σ = 151956. Its totient is φ = 25600.

The previous prime is 64157. The next prime is 64171. The reversal of 64160 is 6146.

64160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 59536 + 4624 = 244^2 + 68^2 .

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

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 64160.

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, 41 + ... + 360.

2⁶⁴¹⁶⁰ is an apocalyptic number.

It is an amenable number.

64160 is an abundant number, since it is smaller than the sum of its proper divisors (87796).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75978).

64160 is a wasteful number, since it uses less digits than its factorization.

64160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

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

The square root of 64160 is about 253.2982431838. The cubic root of 64160 is about 40.0333055941.

The spelling of 64160 in words is "sixty-four thousand, one hundred sixty".