4736320 has 84 divisors (see below), whose sum is σ = 12193524. Its totient is φ = 1751040.

The previous prime is 4736311. The next prime is 4736323. The reversal of 4736320 is 236374.

It can be written as a sum of positive squares in 2 ways, for example, as 831744 + 3904576 = 912^2 + 1976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4736323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115500 + ... + 115540.

It is an arithmetic number, because the mean of its divisors is an integer number (145161).

Almost surely, 2^4736320 is an apocalyptic number.

4736320 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 4736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096762).

4736320 is an abundant number, since it is smaller than the sum of its proper divisors (7457204).

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

4736320 is a wasteful number, since it uses less digits than its factorization.

4736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 4736320 is about 2176.3088016180. The cubic root of 4736320 is about 167.9372403522.

The spelling of 4736320 in words is "four million, seven hundred thirty-six thousand, three hundred twenty".