4668642 has 96 divisors (see below), whose sum is σ = 12467520. Its totient is φ = 1244160.

The previous prime is 4668641. The next prime is 4668679. The reversal of 4668642 is 2468664.

It is a happy number.

4668642 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 642 = 666.

Its product of digits (55296) is a multiple of the sum of its prime factors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4668597 and 4668606.

It is not an unprimeable number, because it can be changed into a prime (4668641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63918 + ... + 63990.

It is an arithmetic number, because the mean of its divisors is an integer number (129870).

Almost surely, 2^4668642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4668642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233760).

4668642 is an abundant number, since it is smaller than the sum of its proper divisors (7798878).

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

4668642 is a wasteful number, since it uses less digits than its factorization.

4668642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 125 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4668642 is about 2160.7040519238. The cubic root of 4668642 is about 167.1335062550.

The spelling of 4668642 in words is "four million, six hundred sixty-eight thousand, six hundred forty-two".