4768736 has 48 divisors (see below), whose sum is σ = 10936800. Its totient is φ = 2004480.

The previous prime is 4768727. The next prime is 4768747. The reversal of 4768736 is 6378674.

It is a junction number, because it is equal to n+sod(n) for n = 4768693 and 4768702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13490 + ... + 13838.

It is an arithmetic number, because the mean of its divisors is an integer number (227850).

Almost surely, 2^4768736 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 4768736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468400).

4768736 is an abundant number, since it is smaller than the sum of its proper divisors (6168064).

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

4768736 is a wasteful number, since it uses less digits than its factorization.

4768736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its digits is 169344, while the sum is 41.

The square root of 4768736 is about 2183.7435746900. The cubic root of 4768736 is about 168.3194978227.

The spelling of 4768736 in words is "four million, seven hundred sixty-eight thousand, seven hundred thirty-six".