4643688 has 64 divisors (see below), whose sum is σ = 13432320. Its totient is φ = 1310400.

The previous prime is 4643687. The next prime is 4643689. The reversal of 4643688 is 8863464.

It is an interprime number because it is at equal distance from previous prime (4643687) and next prime (4643689).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4643687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21903 + ... + 22113.

It is an arithmetic number, because the mean of its divisors is an integer number (209880).

Almost surely, 2^4643688 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 4643688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6716160).

4643688 is an abundant number, since it is smaller than the sum of its proper divisors (8788632).

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

4643688 is a wasteful number, since it uses less digits than its factorization.

4643688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 354 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 4643688 is about 2154.9218083262. The cubic root of 4643688 is about 166.8351966396.

It can be divided in two parts, 46 and 43688, that added together give a palindrome (43734).

The spelling of 4643688 in words is "four million, six hundred forty-three thousand, six hundred eighty-eight".