4531648 has 56 divisors (see below), whose sum is σ = 10113264. Its totient is φ = 1996800.

The previous prime is 4531643. The next prime is 4531651. The reversal of 4531648 is 8461354.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4531643) 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, 28786 + ... + 28942.

It is an arithmetic number, because the mean of its divisors is an integer number (180594).

Almost surely, 2^4531648 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 4531648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056632).

4531648 is an abundant number, since it is smaller than the sum of its proper divisors (5581616).

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

4531648 is a wasteful number, since it uses less digits than its factorization.

4531648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 4531648 is about 2128.7667791470. The cubic root of 4531648 is about 165.4824934400.

The spelling of 4531648 in words is "four million, five hundred thirty-one thousand, six hundred forty-eight".