4136160 has 96 divisors (see below), whose sum is σ = 14902272. Its totient is φ = 944640.

The previous prime is 4136149. The next prime is 4136161. The reversal of 4136160 is 616314.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4136161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2745 + ... + 3975.

It is an arithmetic number, because the mean of its divisors is an integer number (155232).

Almost surely, 2^4136160 is an apocalyptic number.

4136160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4136160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451136).

4136160 is an abundant number, since it is smaller than the sum of its proper divisors (10766112).

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

4136160 is a wasteful number, since it uses less digits than its factorization.

4136160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 4136160 is about 2033.7551475042. The cubic root of 4136160 is about 160.5212169038.

The spelling of 4136160 in words is "four million, one hundred thirty-six thousand, one hundred sixty".