4806648 has 192 divisors, whose sum is σ = 17683200. Its totient is φ = 1175040.

The previous prime is 4806589. The next prime is 4806649. The reversal of 4806648 is 8466084.

4806648 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 648 = 666.

It is a super-3 number, since 3×4806648³ (a number of 21 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4806649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282736 + ... + 282752.

It is an arithmetic number, because the mean of its divisors is an integer number (92100).

Almost surely, 2^4806648 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 4806648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8841600).

4806648 is an abundant number, since it is smaller than the sum of its proper divisors (12876552).

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

4806648 is a wasteful number, since it uses less digits than its factorization.

4806648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4806648 is about 2192.4068965409. The cubic root of 4806648 is about 168.7643740842.

The spelling of 4806648 in words is "four million, eight hundred six thousand, six hundred forty-eight".