3616160 has 48 divisors (see below), whose sum is σ = 8668296. Its totient is φ = 1425408.

The previous prime is 3616147. The next prime is 3616183. The reversal of 3616160 is 616163.

3616160 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 4 ways, for example, as 2298256 + 1317904 = 1516^2 + 1148^2 .

It is a super-2 number, since 2×3616160² = 26153226291200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15404 + ... + 15636.

Almost surely, 2^3616160 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 3616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334148).

3616160 is an abundant number, since it is smaller than the sum of its proper divisors (5052136).

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

3616160 is a wasteful number, since it uses less digits than its factorization.

3616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 3616160 is about 1901.6203616916. The cubic root of 3616160 is about 153.4908693866.

The spelling of 3616160 in words is "three million, six hundred sixteen thousand, one hundred sixty".