13882320 has 80 divisors (see below), whose sum is σ = 47824320. Its totient is φ = 3701376.

The previous prime is 13882303. The next prime is 13882321. The reversal of 13882320 is 2328831.

13882320 = T₃₃₄ + T₃₃₅ + ... + T₄₉₃.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13882321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054 + ... + 5373.

It is an arithmetic number, because the mean of its divisors is an integer number (597804).

Almost surely, 2^13882320 is an apocalyptic number.

13882320 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 13882320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23912160).

13882320 is an abundant number, since it is smaller than the sum of its proper divisors (33942000).

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

13882320 is a wasteful number, since it uses less digits than its factorization.

13882320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6449 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13882320 is about 3725.8985493435. The cubic root of 13882320 is about 240.3370264999.

The spelling of 13882320 in words is "thirteen million, eight hundred eighty-two thousand, three hundred twenty".