4088960 has 32 divisors (see below), whose sum is σ = 9776700. Its totient is φ = 1635328.

The previous prime is 4088957. The next prime is 4088977. The reversal of 4088960 is 698804.

It can be written as a sum of positive squares in 2 ways, for example, as 3356224 + 732736 = 1832^2 + 856^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4088960.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2555 + ... + 3834.

Almost surely, 2^4088960 is an apocalyptic number.

4088960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4088960 is an abundant number, since it is smaller than the sum of its proper divisors (5687740).

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

4088960 is an equidigital number, since it uses as much as digits as its factorization.

4088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 4088960 is about 2022.1177018166. The cubic root of 4088960 is about 159.9082807658.

The spelling of 4088960 in words is "four million, eighty-eight thousand, nine hundred sixty".