13798400 has 198 divisors, whose sum is σ = 43404588. Its totient is φ = 4300800.

The previous prime is 13798381. The next prime is 13798409. The reversal of 13798400 is 489731.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (13798409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1254395 + ... + 1254405.

Almost surely, 2^13798400 is an apocalyptic number.

13798400 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 13798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21702294).

13798400 is an abundant number, since it is smaller than the sum of its proper divisors (29606188).

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

13798400 is a wasteful number, since it uses less digits than its factorization.

13798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 13798400 is about 3714.6197651980. The cubic root of 13798400 is about 239.8517603082.

Multiplying 13798400 by its reverse (489731), we get a square (6757504230400 = 2599520²).

It can be divided in two parts, 1379 and 8400, that added together give a palindrome (9779).

The spelling of 13798400 in words is "thirteen million, seven hundred ninety-eight thousand, four hundred".