4863648 has 48 divisors (see below), whose sum is σ = 13214880. Its totient is φ = 1564416.

The previous prime is 4863641. The next prime is 4863653. The reversal of 4863648 is 8463684.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (4863641) 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, 1911 + ... + 3657.

It is an arithmetic number, because the mean of its divisors is an integer number (275310).

Almost surely, 2^4863648 is an apocalyptic number.

4863648 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 4863648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6607440).

4863648 is an abundant number, since it is smaller than the sum of its proper divisors (8351232).

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

4863648 is a wasteful number, since it uses less digits than its factorization.

4863648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1781 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 4863648 is about 2205.3679965031. The cubic root of 4863648 is about 169.4288560734.

It can be divided in two parts, 48636 and 48, that added together give a palindrome (48684).

The spelling of 4863648 in words is "four million, eight hundred sixty-three thousand, six hundred forty-eight".