4613320 has 64 divisors (see below), whose sum is σ = 11113200. Its totient is φ = 1720320.

The previous prime is 4613311. The next prime is 4613339. The reversal of 4613320 is 233164.

It can be written as a sum of positive squares in 8 ways, for example, as 763876 + 3849444 = 874^2 + 1962^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47512 + ... + 47608.

Almost surely, 2^4613320 is an apocalyptic number.

4613320 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 4613320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556600).

4613320 is an abundant number, since it is smaller than the sum of its proper divisors (6499880).

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

4613320 is a wasteful number, since it uses less digits than its factorization.

4613320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 4613320 is about 2147.8640552884. The cubic root of 4613320 is about 166.4707208328.

Adding to 4613320 its reverse (233164), we get a palindrome (4846484).

It can be divided in two parts, 46 and 13320, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 4613320 in words is "four million, six hundred thirteen thousand, three hundred twenty".