13426400 has 72 divisors (see below), whose sum is σ = 35325864. Its totient is φ = 4953600.

The previous prime is 13426397. The next prime is 13426403. The reversal of 13426400 is 462431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13426397) and next prime (13426403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13426403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9755 + ... + 11045.

It is an arithmetic number, because the mean of its divisors is an integer number (490637).

Almost surely, 2^13426400 is an apocalyptic number.

13426400 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 13426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17662932).

13426400 is an abundant number, since it is smaller than the sum of its proper divisors (21899464).

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

13426400 is a wasteful number, since it uses less digits than its factorization.

13426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 13426400 is about 3664.2052344267. The cubic root of 13426400 is about 237.6766552728.

Adding to 13426400 its reverse (462431), we get a palindrome (13888831).

The spelling of 13426400 in words is "thirteen million, four hundred twenty-six thousand, four hundred".