13802400 has 216 divisors, whose sum is σ = 51184224. Its totient is φ = 3628800.

The previous prime is 13802377. The next prime is 13802407. The reversal of 13802400 is 420831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13802407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 194365 + ... + 194435.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 2^13802400 is an apocalyptic number.

13802400 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 13802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592112).

13802400 is an abundant number, since it is smaller than the sum of its proper divisors (37381824).

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

13802400 is an equidigital number, since it uses as much as digits as its factorization.

13802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13802400 is about 3715.1581392991. The cubic root of 13802400 is about 239.8749348393.

The spelling of 13802400 in words is "thirteen million, eight hundred two thousand, four hundred".