46160 has 20 divisors (see below), whose sum is σ = 107508. Its totient is φ = 18432.

The previous prime is 46153. The next prime is 46171. The reversal of 46160 is 6164.

It can be written as a sum of positive squares in 2 ways, for example, as 35344 + 10816 = 188^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 46160.

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, 209 + ... + 368.

2⁴⁶¹⁶⁰ is an apocalyptic number.

46160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46160 is an abundant number, since it is smaller than the sum of its proper divisors (61348).

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 (53754).

46160 is a wasteful number, since it uses less digits than its factorization.

46160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

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

The square root of 46160 is about 214.8487840319. The cubic root of 46160 is about 35.8719732217.

The spelling of 46160 in words is "forty-six thousand, one hundred sixty".