4681536 has 56 divisors (see below), whose sum is σ = 12740640. Its totient is φ = 1516032.

The previous prime is 4681519. The next prime is 4681559. The reversal of 4681536 is 6351864.

It is a junction number, because it is equal to n+sod(n) for n = 4681497 and 4681506.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6775 + ... + 7433.

Almost surely, 2^4681536 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 4681536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370320).

4681536 is an abundant number, since it is smaller than the sum of its proper divisors (8059104).

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

4681536 is a wasteful number, since it uses less digits than its factorization.

4681536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 701 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 4681536 is about 2163.6857442799. The cubic root of 4681536 is about 167.2872296529.

The spelling of 4681536 in words is "four million, six hundred eighty-one thousand, five hundred thirty-six".