4638656 has 42 divisors (see below), whose sum is σ = 10134600. Its totient is φ = 2104960.

The previous prime is 4638631. The next prime is 4638659. The reversal of 4638656 is 6568364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4638659) 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, 7445 + ... + 8043.

It is an arithmetic number, because the mean of its divisors is an integer number (241300).

Almost surely, 2^4638656 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 4638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067300).

4638656 is an abundant number, since it is smaller than the sum of its proper divisors (5495944).

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

4638656 is a wasteful number, since it uses less digits than its factorization.

4638656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 612 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 4638656 is about 2153.7539320916. The cubic root of 4638656 is about 166.7749127925.

It can be divided in two parts, 463 and 8656, that added together give a palindrome (9119).

The spelling of 4638656 in words is "four million, six hundred thirty-eight thousand, six hundred fifty-six".