13882400 has 144 divisors (see below), whose sum is σ = 40372416. Its totient is φ = 4561920.

The previous prime is 13882399. The next prime is 13882447. The reversal of 13882400 is 428831.

It is a self number, because there is not a number n which added to its sum of digits gives 13882400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207167 + ... + 207233.

It is an arithmetic number, because the mean of its divisors is an integer number (280364).

Almost surely, 2^13882400 is an apocalyptic number.

13882400 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 13882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20186208).

13882400 is an abundant number, since it is smaller than the sum of its proper divisors (26490016).

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

13882400 is a wasteful number, since it uses less digits than its factorization.

13882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 13882400 is about 3725.9092849934. The cubic root of 13882400 is about 240.3374881644.

The spelling of 13882400 in words is "thirteen million, eight hundred eighty-two thousand, four hundred".