13408824 has 64 divisors (see below), whose sum is σ = 39392640. Its totient is φ = 3749760.

The previous prime is 13408799. The next prime is 13408831. The reversal of 13408824 is 42880431.

It is a super-2 number, since 2×13408824² = 359593122125952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13408791 and 13408800.

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 15 ways as a sum of consecutive naturals, for example, 1479 + ... + 5385.

It is an arithmetic number, because the mean of its divisors is an integer number (615510).

Almost surely, 2^13408824 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 13408824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19696320).

13408824 is an abundant number, since it is smaller than the sum of its proper divisors (25983816).

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

13408824 is a wasteful number, since it uses less digits than its factorization.

13408824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 13408824 is about 3661.8061117432. The cubic root of 13408824 is about 237.5728987670.

The spelling of 13408824 in words is "thirteen million, four hundred eight thousand, eight hundred twenty-four".