4088320 has 40 divisors (see below), whose sum is σ = 9808524. Its totient is φ = 1634304.

The previous prime is 4088317. The next prime is 4088321. The reversal of 4088320 is 238804.

It can be written as a sum of positive squares in 2 ways, for example, as 3873024 + 215296 = 1968^2 + 464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4088321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1762 + ... + 3358.

Almost surely, 2^4088320 is an apocalyptic number.

4088320 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 4088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904262).

4088320 is an abundant number, since it is smaller than the sum of its proper divisors (5720204).

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

4088320 is an equidigital number, since it uses as much as digits as its factorization.

4088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4088320 is about 2021.9594456863. The cubic root of 4088320 is about 159.8999374348.

The spelling of 4088320 in words is "four million, eighty-eight thousand, three hundred twenty".