13405824 has 96 divisors (see below), whose sum is σ = 40098240. Its totient is φ = 4458240.

The previous prime is 13405823. The next prime is 13405853. The reversal of 13405824 is 42850431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13405824² = 359432234237952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13405823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30889 + ... + 31319.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 2^13405824 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 13405824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

13405824 is an abundant number, since it is smaller than the sum of its proper divisors (26692416).

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

13405824 is an frugal number, since it uses more digits than its factorization.

13405824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 13405824 is about 3661.3964549062. The cubic root of 13405824 is about 237.5551797919. Note that the first 3 decimals are identical.

The spelling of 13405824 in words is "thirteen million, four hundred five thousand, eight hundred twenty-four".