4635712 has 28 divisors (see below), whose sum is σ = 9294876. Its totient is φ = 2293760.

The previous prime is 4635707. The next prime is 4635731. The reversal of 4635712 is 2175364.

It can be written as a sum of positive squares in 2 ways, for example, as 1893376 + 2742336 = 1376^2 + 1656^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6912 + ... + 7552.

Almost surely, 2^4635712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4635712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647438).

4635712 is an abundant number, since it is smaller than the sum of its proper divisors (4659164).

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

4635712 is a wasteful number, since it uses less digits than its factorization.

4635712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 756 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 4635712 is about 2153.0703657800. The cubic root of 4635712 is about 166.7396231705.

The spelling of 4635712 in words is "four million, six hundred thirty-five thousand, seven hundred twelve".