4563648 has 112 divisors (see below), whose sum is σ = 14224000. Its totient is φ = 1430784.

The previous prime is 4563641. The next prime is 4563649. The reversal of 4563648 is 8463654.

4563648 is a `hidden beast` number, since 4 + 5 + 6 + 3 + 648 = 666.

4563648 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (4563641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32763 + ... + 32901.

It is an arithmetic number, because the mean of its divisors is an integer number (127000).

Almost surely, 2^4563648 is an apocalyptic number.

4563648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112000).

4563648 is an abundant number, since it is smaller than the sum of its proper divisors (9660352).

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

4563648 is a wasteful number, since it uses less digits than its factorization.

4563648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4563648 is about 2136.2696459015. The cubic root of 4563648 is about 165.8710955533.

The spelling of 4563648 in words is "four million, five hundred sixty-three thousand, six hundred forty-eight".