4185360 has 60 divisors (see below), whose sum is σ = 14058252. Its totient is φ = 1115904.

The previous prime is 4185359. The next prime is 4185361. The reversal of 4185360 is 635814.

It is an interprime number because it is at equal distance from previous prime (4185359) and next prime (4185361).

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 1971216 = 1488^2 + 1404^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4185361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2187 + ... + 3626.

Almost surely, 2^4185360 is an apocalyptic number.

4185360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4185360 is an abundant number, since it is smaller than the sum of its proper divisors (9872892).

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

4185360 is a wasteful number, since it uses less digits than its factorization.

4185360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4185360 is about 2045.8152409248. The cubic root of 4185360 is about 161.1551813205.

It can be divided in two parts, 418 and 5360, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 4185360 in words is "four million, one hundred eighty-five thousand, three hundred sixty".