4905936 has 120 divisors (see below), whose sum is σ = 16300544. Its totient is φ = 1347840.

The previous prime is 4905931. The next prime is 4905949. The reversal of 4905936 is 6395094.

4905936 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4905936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4905931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31170 + ... + 31326.

Almost surely, 2^4905936 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 4905936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8150272).

4905936 is an abundant number, since it is smaller than the sum of its proper divisors (11394608).

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

4905936 is a wasteful number, since it uses less digits than its factorization.

4905936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 4905936 is about 2214.9347620190. The cubic root of 4905936 is about 169.9184845641.

The spelling of 4905936 in words is "four million, nine hundred five thousand, nine hundred thirty-six".