4688 has 10 divisors (see below), whose sum is σ = 9114. Its totient is φ = 2336.

The previous prime is 4679. The next prime is 4691. The reversal of 4688 is 8864.

It can be written as a sum of positive squares in only one way, i.e., 4624 + 64 = 68^2 + 8^2 .

It is a plaindrome in base 5, base 10 and base 14.

It is a congruent number.

It is an unprimeable number.

4688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131 + ... + 162.

2⁴⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

4688 is a deficient number, since it is larger than the sum of its proper divisors (4426).

4688 is a wasteful number, since it uses less digits than its factorization.

4688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 4688 is about 68.4689710745. The cubic root of 4688 is about 16.7364187824.

The spelling of 4688 in words is "four thousand, six hundred eighty-eight".