4648644 has 192 divisors, whose sum is σ = 16558080. Its totient is φ = 1088640.

The previous prime is 4648639. The next prime is 4648663. The reversal of 4648644 is 4468464.

4648644 is a `hidden beast` number, since 4 + 6 + 4 + 8 + 644 = 666.

4648644 is digitally balanced in base 4 and base 8, because in such bases 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).

4648644 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 4648599 and 4648608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108087 + ... + 108129.

It is an arithmetic number, because the mean of its divisors is an integer number (86240).

Almost surely, 2^4648644 is an apocalyptic number.

4648644 is a gapful number since it is divisible by the number (44) 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 4648644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279040).

4648644 is an abundant number, since it is smaller than the sum of its proper divisors (11909436).

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

4648644 is a wasteful number, since it uses less digits than its factorization.

4648644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 4648644 is about 2156.0714273882. The cubic root of 4648644 is about 166.8945274459.

The spelling of 4648644 in words is "four million, six hundred forty-eight thousand, six hundred forty-four".