4635648 has 66 divisors (see below), whose sum is σ = 13411944. Its totient is φ = 1542144.

The previous prime is 4635637. The next prime is 4635649. The reversal of 4635648 is 8465364.

4635648 is a `hidden beast` number, since 4 + 6 + 3 + 5 + 648 = 666.

4635648 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4635649) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8965 + ... + 9467.

Almost surely, 2^4635648 is an apocalyptic number.

4635648 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 4635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705972).

4635648 is an abundant number, since it is smaller than the sum of its proper divisors (8776296).

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

4635648 is a wasteful number, since it uses less digits than its factorization.

4635648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 508 counting only the distinct ones).

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

The square root of 4635648 is about 2153.0555032326. The cubic root of 4635648 is about 166.7388558389.

The spelling of 4635648 in words is "four million, six hundred thirty-five thousand, six hundred forty-eight".