4605360 has 80 divisors (see below), whose sum is σ = 14760960. Its totient is φ = 1186560.

The previous prime is 4605331. The next prime is 4605361. The reversal of 4605360 is 635064.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4605360.

It is not an unprimeable number, because it can be changed into a prime (4605361) 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, 7131 + ... + 7749.

It is an arithmetic number, because the mean of its divisors is an integer number (184512).

Almost surely, 2^4605360 is an apocalyptic number.

4605360 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 4605360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380480).

4605360 is an abundant number, since it is smaller than the sum of its proper divisors (10155600).

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

4605360 is a wasteful number, since it uses less digits than its factorization.

4605360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 4605360 is about 2146.0102516065. The cubic root of 4605360 is about 166.3749207149.

4605360 divided by its sum of digits (24) gives a triangular number (191890 = T₆₁₉).

The spelling of 4605360 in words is "four million, six hundred five thousand, three hundred sixty".