4681936 has 40 divisors (see below), whose sum is σ = 10981440. Its totient is φ = 1887744.

The previous prime is 4681921. The next prime is 4681939. The reversal of 4681936 is 6391864.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4681895 and 4681904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4681939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675 + ... + 3133.

It is an arithmetic number, because the mean of its divisors is an integer number (274536).

Almost surely, 2^4681936 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 4681936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490720).

4681936 is an abundant number, since it is smaller than the sum of its proper divisors (6299504).

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

4681936 is a wasteful number, since it uses less digits than its factorization.

4681936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2485 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 4681936 is about 2163.7781771707. The cubic root of 4681936 is about 167.2919939714.

The spelling of 4681936 in words is "four million, six hundred eighty-one thousand, nine hundred thirty-six".