4716648 has 48 divisors (see below), whose sum is σ = 12912900. Its totient is φ = 1555200.

The previous prime is 4716583. The next prime is 4716661. The reversal of 4716648 is 8466174.

4716648 is a `hidden beast` number, since 4 + 7 + 1 + 6 + 648 = 666.

4716648 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4334724 + 381924 = 2082^2 + 618^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7548 + ... + 8148.

Almost surely, 2^4716648 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 4716648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6456450).

4716648 is an abundant number, since it is smaller than the sum of its proper divisors (8196252).

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

4716648 is a wasteful number, since it uses less digits than its factorization.

4716648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 715 counting only the distinct ones).

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

The square root of 4716648 is about 2171.7845196980. The cubic root of 4716648 is about 167.7044122055.

The spelling of 4716648 in words is "four million, seven hundred sixteen thousand, six hundred forty-eight".