4005960 has 128 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 864000.

The previous prime is 4005959. The next prime is 4005971. The reversal of 4005960 is 695004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4005960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15835 + ... + 16085.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 2^4005960 is an apocalyptic number.

4005960 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 4005960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

4005960 is an abundant number, since it is smaller than the sum of its proper divisors (10509240).

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

4005960 is a wasteful number, since it uses less digits than its factorization.

4005960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 4005960 is about 2001.4894453881. The cubic root of 4005960 is about 158.8189069905.

The spelling of 4005960 in words is "four million, five thousand, nine hundred sixty".