4001960 has 16 divisors (see below), whose sum is σ = 9004500. Its totient is φ = 1600768.

The previous prime is 4001947. The next prime is 4001999. The reversal of 4001960 is 691004.

It can be written as a sum of positive squares in 2 ways, for example, as 3319684 + 682276 = 1822^2 + 826^2 .

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

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, 49985 + ... + 50064.

Almost surely, 2^4001960 is an apocalyptic number.

4001960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001960 is an abundant number, since it is smaller than the sum of its proper divisors (5002540).

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

4001960 is a wasteful number, since it uses less digits than its factorization.

4001960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100060 (or 100056 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 4001960 is about 2000.4899399897. The cubic root of 4001960 is about 158.7660285137.

Adding to 4001960 its reverse (691004), we get a palindrome (4692964).

The spelling of 4001960 in words is "four million, one thousand, nine hundred sixty".