4005096 has 32 divisors (see below), whose sum is σ = 10111200. Its totient is φ = 1321920.

The previous prime is 4005091. The next prime is 4005119. The reversal of 4005096 is 6905004.

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

It is not an unprimeable number, because it can be changed into a prime (4005091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1851 + ... + 3381.

It is an arithmetic number, because the mean of its divisors is an integer number (315975).

Almost surely, 2^4005096 is an apocalyptic number.

It is an amenable number.

4005096 is an abundant number, since it is smaller than the sum of its proper divisors (6106104).

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

4005096 is a wasteful number, since it uses less digits than its factorization.

4005096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1645 counting only the distinct ones).

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

The square root of 4005096 is about 2001.2735944893. The cubic root of 4005096 is about 158.8074882209.

The spelling of 4005096 in words is "four million, five thousand, ninety-six".