4088 has 16 divisors (see below), whose sum is σ = 8880. Its totient is φ = 1728.

The previous prime is 4079. The next prime is 4091. The reversal of 4088 is 8804.

4088 is a modest number, since divided by 88 gives 40 as remainder.

It is a plaindrome in base 12.

It is a nialpdrome in base 2, base 4, base 8, base 9 and base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4088.

It is an unprimeable number.

4088 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 in 3 ways as a sum of consecutive naturals, for example, 20 + ... + 92.

It is an arithmetic number, because the mean of its divisors is an integer number (555).

4088 is a Friedman number, since it can be written as (8+0)^4-8, using all its digits and the basic arithmetic operations.

2⁴⁰⁸⁸ 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 4088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440).

4088 is an abundant number, since it is smaller than the sum of its proper divisors (4792).

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

4088 is a wasteful number, since it uses less digits than its factorization.

4088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 4088 is about 63.9374694526. The cubic root of 4088 is about 15.9895765443.

It can be divided in two parts, 40 and 88, that added together give a 7-th power (128 = 2⁷).

The spelling of 4088 in words is "four thousand, eighty-eight".