4088000 has 112 divisors (see below), whose sum is σ = 11728704. Its totient is φ = 1382400.

The previous prime is 4087991. The next prime is 4088009. The reversal of 4088000 is 8804.

It is an interprime number because it is at equal distance from previous prime (4087991) and next prime (4088009).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (4088009) 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, 55964 + ... + 56036.

Almost surely, 2^4088000 is an apocalyptic number.

4088000 is a gapful number since it is divisible by the number (40) 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 4088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864352).

4088000 is an abundant number, since it is smaller than the sum of its proper divisors (7640704).

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

4088000 is an equidigital number, since it uses as much as digits as its factorization.

4088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

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

The square root of 4088000 is about 2021.8803129760. The cubic root of 4088000 is about 159.8957654428.

The spelling of 4088000 in words is "four million, eighty-eight thousand".