4686336 has 100 divisors (see below), whose sum is σ = 14111262. Its totient is φ = 1548288.

The previous prime is 4686317. The next prime is 4686343. The reversal of 4686336 is 6336864.

4686336 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 4665600 + 20736 = 2160^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4686336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41416 + ... + 41528.

Almost surely, 2^4686336 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 4686336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7055631).

4686336 is an abundant number, since it is smaller than the sum of its proper divisors (9424926).

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

4686336 is an equidigital number, since it uses as much as digits as its factorization.

4686336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 4686336 is about 2164.7946784857. The cubic root of 4686336 is about 167.3443835746.

The spelling of 4686336 in words is "four million, six hundred eighty-six thousand, three hundred thirty-six".