4719936 has 112 divisors (see below), whose sum is σ = 14110208. Its totient is φ = 1382400.

The previous prime is 4719917. The next prime is 4719943. The reversal of 4719936 is 6399174.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 4719894 and 4719903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77346 + ... + 77406.

It is an arithmetic number, because the mean of its divisors is an integer number (125984).

Almost surely, 2^4719936 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 4719936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7055104).

4719936 is an abundant number, since it is smaller than the sum of its proper divisors (9390272).

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

4719936 is a wasteful number, since it uses less digits than its factorization.

4719936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 4719936 is about 2172.5413689962. The cubic root of 4719936 is about 167.7433723616.

The spelling of 4719936 in words is "four million, seven hundred nineteen thousand, nine hundred thirty-six".