4617648 has 100 divisors (see below), whose sum is σ = 15304080. Its totient is φ = 1316736.

The previous prime is 4617643. The next prime is 4617649. The reversal of 4617648 is 8467164.

4617648 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 648 = 666.

4617648 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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4617643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8818 + ... + 9326.

Almost surely, 2^4617648 is an apocalyptic number.

4617648 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 4617648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652040).

4617648 is an abundant number, since it is smaller than the sum of its proper divisors (10686432).

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

4617648 is a wasteful number, since it uses less digits than its factorization.

4617648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4617648 is about 2148.8713316530. The cubic root of 4617648 is about 166.5227628971.

The spelling of 4617648 in words is "four million, six hundred seventeen thousand, six hundred forty-eight".