34160 has 40 divisors (see below), whose sum is σ = 92256. Its totient is φ = 11520.

The previous prime is 34159. The next prime is 34171. The reversal of 34160 is 6143.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 14.

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 34160.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 530 + ... + 590.

2³⁴¹⁶⁰ 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 34160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46128).

34160 is an abundant number, since it is smaller than the sum of its proper divisors (58096).

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

34160 is a wasteful number, since it uses less digits than its factorization.

34160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 34160 is about 184.8242408344. The cubic root of 34160 is about 32.4468559469.

The spelling of 34160 in words is "thirty-four thousand, one hundred sixty".