2013864 has 16 divisors (see below), whose sum is σ = 5034720. Its totient is φ = 671280.

The previous prime is 2013859. The next prime is 2013877. The reversal of 2013864 is 4683102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 83911 = 2013864 / (2 + 0 + 1 + 3 + 8 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41932 + ... + 41979.

It is an arithmetic number, because the mean of its divisors is an integer number (314670).

2^2013864 is an apocalyptic number.

2013864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2013864 is an abundant number, since it is smaller than the sum of its proper divisors (3020856).

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

2013864 is a wasteful number, since it uses less digits than its factorization.

2013864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83920 (or 83916 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2013864 is about 1419.1067613115. The cubic root of 2013864 is about 126.2825606309.

Adding to 2013864 its reverse (4683102), we get a palindrome (6696966).

It can be divided in two parts, 20138 and 64, that added together give a palindrome (20202).

The spelling of 2013864 in words is "two million, thirteen thousand, eight hundred sixty-four".