4608720 has 120 divisors (see below), whose sum is σ = 15987816. Its totient is φ = 1188864.

The previous prime is 4608707. The next prime is 4608727. The reversal of 4608720 is 278064.

It can be written as a sum of positive squares in 4 ways, for example, as 2322576 + 2286144 = 1524^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4608727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26554 + ... + 26726.

Almost surely, 2^4608720 is an apocalyptic number.

4608720 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 4608720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7993908).

4608720 is an abundant number, since it is smaller than the sum of its proper divisors (11379096).

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

4608720 is a wasteful number, since it uses less digits than its factorization.

4608720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4608720 is about 2146.7929569476. The cubic root of 4608720 is about 166.4153724087.

It can be divided in two parts, 460 and 8720, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 4608720 in words is "four million, six hundred eight thousand, seven hundred twenty".