4681296 has 120 divisors (see below), whose sum is σ = 14508000. Its totient is φ = 1403136.

The previous prime is 4681291. The next prime is 4681297. The reversal of 4681296 is 6921864.

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 self number, because there is not a number n which added to its sum of digits gives 4681296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4681291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79315 + ... + 79373.

It is an arithmetic number, because the mean of its divisors is an integer number (120900).

Almost surely, 2^4681296 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 4681296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254000).

4681296 is an abundant number, since it is smaller than the sum of its proper divisors (9826704).

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

4681296 is a wasteful number, since it uses less digits than its factorization.

4681296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4681296 is about 2163.6302826500. The cubic root of 4681296 is about 167.2843709315.

It can be divided in two parts, 468 and 1296, that added together give a square (1764 = 42²).

The spelling of 4681296 in words is "four million, six hundred eighty-one thousand, two hundred ninety-six".