4581936 has 60 divisors (see below), whose sum is σ = 13115232. Its totient is φ = 1492608.

The previous prime is 4581931. The next prime is 4581937. The reversal of 4581936 is 6391854.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 4581936.

It is not an unprimeable number, because it can be changed into a prime (4581931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6430 + ... + 7106.

Almost surely, 2^4581936 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 4581936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557616).

4581936 is an abundant number, since it is smaller than the sum of its proper divisors (8533296).

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

4581936 is a wasteful number, since it uses less digits than its factorization.

4581936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 729 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4581936 is about 2140.5457248094. The cubic root of 4581936 is about 166.0923664597.

It can be divided in two parts, 458 and 1936, that multiplied together give a palindrome (886688).

The spelling of 4581936 in words is "four million, five hundred eighty-one thousand, nine hundred thirty-six".