2013856 has 48 divisors (see below), whose sum is σ = 4402944. Its totient is φ = 900864.

The previous prime is 2013833. The next prime is 2013859. The reversal of 2013856 is 6583102.

2013856 = T₁₄₄ + T₁₄₅ + ... + T₂₄₆.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2013856.

It is not an unprimeable number, because it can be changed into a prime (2013859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19501 + ... + 19603.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

2^2013856 is an apocalyptic number.

2013856 is a gapful number since it is divisible by the number (26) 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 2013856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472).

2013856 is an abundant number, since it is smaller than the sum of its proper divisors (2389088).

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

2013856 is a wasteful number, since it uses less digits than its factorization.

2013856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2013856 is about 1419.1039426342. The cubic root of 2013856 is about 126.2823934131.

Adding to 2013856 its reverse (6583102), we get a palindrome (8596958).

The spelling of 2013856 in words is "two million, thirteen thousand, eight hundred fifty-six".