13438320 has 160 divisors (see below), whose sum is σ = 50234880. Its totient is φ = 2903040.

The previous prime is 13438319. The next prime is 13438333. The reversal of 13438320 is 2383431.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 31710 + ... + 32130.

It is an arithmetic number, because the mean of its divisors is an integer number (313968).

Almost surely, 2^13438320 is an apocalyptic number.

13438320 is a gapful number since it is divisible by the number (10) 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 13438320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25117440).

13438320 is an abundant number, since it is smaller than the sum of its proper divisors (36796560).

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

13438320 is a wasteful number, since it uses less digits than its factorization.

13438320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 13438320 is about 3665.8314200192. The cubic root of 13438320 is about 237.7469711611.

The spelling of 13438320 in words is "thirteen million, four hundred thirty-eight thousand, three hundred twenty".