4634688 has 56 divisors (see below), whose sum is σ = 12435840. Its totient is φ = 1523200.

The previous prime is 4634687. The next prime is 4634699. The reversal of 4634688 is 8864364.

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 (4634687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19273 + ... + 19511.

Almost surely, 2^4634688 is an apocalyptic number.

4634688 is a gapful number since it is divisible by the number (48) 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 4634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217920).

4634688 is an abundant number, since it is smaller than the sum of its proper divisors (7801152).

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

4634688 is a wasteful number, since it uses less digits than its factorization.

4634688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

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

The square root of 4634688 is about 2152.8325527082. The cubic root of 4634688 is about 166.7273450173.

It can be divided in two parts, 463 and 4688, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 4634688 in words is "four million, six hundred thirty-four thousand, six hundred eighty-eight".