4689936 has 30 divisors (see below), whose sum is σ = 13125710. Its totient is φ = 1563264.

The previous prime is 4689911. The next prime is 4689947. The reversal of 4689936 is 6399864.

4689936 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 4665600 + 24336 = 2160^2 + 156^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4689891 and 4689900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16141 + ... + 16428.

Almost surely, 2^4689936 is an apocalyptic number.

It is an amenable number.

4689936 is an abundant number, since it is smaller than the sum of its proper divisors (8435774).

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

4689936 is a wasteful number, since it uses less digits than its factorization.

4689936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32583 (or 32574 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 4689936 is about 2165.6260064933. The cubic root of 4689936 is about 167.3872234096.

Subtracting from 4689936 its product of digits (279936), we obtain a square (4410000 = 2100²).

It can be divided in two parts, 4689 and 936, that added together give a square (5625 = 75²).

The spelling of 4689936 in words is "four million, six hundred eighty-nine thousand, nine hundred thirty-six".