4095936 has 84 divisors (see below), whose sum is σ = 12666472. Its totient is φ = 1257984.

The previous prime is 4095901. The next prime is 4095953. The reversal of 4095936 is 6395904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4095936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7215 + ... + 7761.

Almost surely, 2^4095936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4095936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333236).

4095936 is an abundant number, since it is smaller than the sum of its proper divisors (8570536).

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

4095936 is a wasteful number, since it uses less digits than its factorization.

4095936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 4095936 is about 2023.8418910577. The cubic root of 4095936 is about 159.9991666623. Note that the first 3 decimals are identical.

Subtracting 4095936 from its reverse (6395904), we obtain a cube (2299968 = 132³).

The spelling of 4095936 in words is "four million, ninety-five thousand, nine hundred thirty-six".