13882008 has 64 divisors (see below), whose sum is σ = 41760000. Its totient is φ = 3756672.

The previous prime is 13881997. The next prime is 13882009. The reversal of 13882008 is 80028831.

13882008 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13882008² = 385420292224128, which contains 22 as substring.

13882008 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13882009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1018 + ... + 5366.

It is an arithmetic number, because the mean of its divisors is an integer number (652500).

Almost surely, 2^13882008 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 13882008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20880000).

13882008 is an abundant number, since it is smaller than the sum of its proper divisors (27877992).

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

13882008 is a wasteful number, since it uses less digits than its factorization.

13882008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 13882008 is about 3725.8566800133. The cubic root of 13882008 is about 240.3352259912.

The spelling of 13882008 in words is "thirteen million, eight hundred eighty-two thousand, eight".