11413864 has 48 divisors (see below), whose sum is σ = 27168480. Its totient is φ = 4445280.

The previous prime is 11413823. The next prime is 11413879. The reversal of 11413864 is 46831411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2989 + ... + 5635.

It is an arithmetic number, because the mean of its divisors is an integer number (566010).

Almost surely, 2^11413864 is an apocalyptic number.

11413864 is a gapful number since it is divisible by the number (14) 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 11413864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13584240).

11413864 is an abundant number, since it is smaller than the sum of its proper divisors (15754616).

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

11413864 is a wasteful number, since it uses less digits than its factorization.

11413864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2667 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 11413864 is about 3378.4410606077. The cubic root of 11413864 is about 225.1529100505.

It can be divided in two parts, 1141 and 3864, that added together give a palindrome (5005).

The spelling of 11413864 in words is "eleven million, four hundred thirteen thousand, eight hundred sixty-four".