4080960 has 168 divisors, whose sum is σ = 15255240. Its totient is φ = 995328.

The previous prime is 4080943. The next prime is 4080983. The reversal of 4080960 is 690804.

It can be written as a sum of positive squares in 4 ways, for example, as 207936 + 3873024 = 456^2 + 1968^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37386 + ... + 37494.

It is an arithmetic number, because the mean of its divisors is an integer number (90805).

Almost surely, 2^4080960 is an apocalyptic number.

4080960 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 4080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7627620).

4080960 is an abundant number, since it is smaller than the sum of its proper divisors (11174280).

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

4080960 is a wasteful number, since it uses less digits than its factorization.

4080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4080960 is about 2020.1386091058. The cubic root of 4080960 is about 159.8039264847.

The spelling of 4080960 in words is "four million, eighty thousand, nine hundred sixty".