13808400 has 120 divisors (see below), whose sum is σ = 45574464. Its totient is φ = 3571200.

The previous prime is 13808359. The next prime is 13808401. The reversal of 13808400 is 480831.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (13808401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44245 + ... + 44555.

Almost surely, 2^13808400 is an apocalyptic number.

13808400 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 13808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22787232).

13808400 is an abundant number, since it is smaller than the sum of its proper divisors (31766064).

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

13808400 is a wasteful number, since it uses less digits than its factorization.

13808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 13808400 is about 3715.9655541999. The cubic root of 13808400 is about 239.9096882423.

The spelling of 13808400 in words is "thirteen million, eight hundred eight thousand, four hundred".