4688112 has 80 divisors (see below), whose sum is σ = 14249088. Its totient is φ = 1309440.

The previous prime is 4688087. The next prime is 4688137. The reversal of 4688112 is 2118864.

It is an interprime number because it is at equal distance from previous prime (4688087) and next prime (4688137).

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

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 4688112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6523 + ... + 7205.

Almost surely, 2^4688112 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 4688112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544).

4688112 is an abundant number, since it is smaller than the sum of its proper divisors (9560976).

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

4688112 is a wasteful number, since it uses less digits than its factorization.

4688112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 712 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 4688112 is about 2165.2048401941. The cubic root of 4688112 is about 167.3655206341.

It can be divided in two parts, 468 and 8112, that multiplied together give a cube (3796416 = 156³).

The spelling of 4688112 in words is "four million, six hundred eighty-eight thousand, one hundred twelve".