4923936 has 96 divisors (see below), whose sum is σ = 14817600. Its totient is φ = 1589760.

The previous prime is 4923929. The next prime is 4923937. The reversal of 4923936 is 6393294.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 d-powerful number, because it can be written as 4¹¹ + 9 + 2¹⁹ + 3⁹ + 9³ + 3¹¹ + 6⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 4923936.

It is not an unprimeable number, because it can be changed into a prime (4923937) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35355 + ... + 35493.

It is an arithmetic number, because the mean of its divisors is an integer number (154350).

Almost surely, 2^4923936 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 4923936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408800).

4923936 is an abundant number, since it is smaller than the sum of its proper divisors (9893664).

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

4923936 is a wasteful number, since it uses less digits than its factorization.

4923936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 4923936 is about 2218.9943668248. The cubic root of 4923936 is about 170.1260426270.

The spelling of 4923936 in words is "four million, nine hundred twenty-three thousand, nine hundred thirty-six".