13191864 has 128 divisors (see below), whose sum is σ = 41472000. Its totient is φ = 3409920.

The previous prime is 13191821. The next prime is 13191883. The reversal of 13191864 is 46819131.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 88462 + ... + 88610.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 2^13191864 is an apocalyptic number.

13191864 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 13191864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736000).

13191864 is an abundant number, since it is smaller than the sum of its proper divisors (28280136).

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

13191864 is a wasteful number, since it uses less digits than its factorization.

13191864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 13191864 is about 3632.0605721821. The cubic root of 13191864 is about 236.2845843942.

Subtracting from 13191864 its product of digits (5184), we obtain a triangular number (13186680 = T₅₁₃₅).

The spelling of 13191864 in words is "thirteen million, one hundred ninety-one thousand, eight hundred sixty-four".