4013856 has 144 divisors (see below), whose sum is σ = 14309568. Its totient is φ = 1036800.

The previous prime is 4013851. The next prime is 4013857. The reversal of 4013856 is 6583104.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4013856² = 32222079977472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4013851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22086 + ... + 22266.

It is an arithmetic number, because the mean of its divisors is an integer number (99372).

Almost surely, 2^4013856 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 4013856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7154784).

4013856 is an abundant number, since it is smaller than the sum of its proper divisors (10295712).

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

4013856 is a wasteful number, since it uses less digits than its factorization.

4013856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4013856 is about 2003.4610053605. The cubic root of 4013856 is about 158.9231858703.

The spelling of 4013856 in words is "four million, thirteen thousand, eight hundred fifty-six".