4165160 has 32 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 1611840.

The previous prime is 4165157. The next prime is 4165163. The reversal of 4165160 is 615614.

It is an interprime number because it is at equal distance from previous prime (4165157) and next prime (4165163).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440 + ... + 2919.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 2^4165160 is an apocalyptic number.

4165160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4165160 is an abundant number, since it is smaller than the sum of its proper divisors (5511640).

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

4165160 is a wasteful number, since it uses less digits than its factorization.

4165160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 4165160 is about 2040.8723624960. The cubic root of 4165160 is about 160.8954994870.

The spelling of 4165160 in words is "four million, one hundred sixty-five thousand, one hundred sixty".