13926400 has 96 divisors (see below), whose sum is σ = 36568530. Its totient is φ = 5242880.

The previous prime is 13926391. The next prime is 13926403. The reversal of 13926400 is 462931.

It can be written as a sum of positive squares in 3 ways, for example, as 11943936 + 1982464 = 3456^2 + 1408^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13926403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 819192 + ... + 819208.

Almost surely, 2^13926400 is an apocalyptic number.

13926400 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 13926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18284265).

13926400 is an abundant number, since it is smaller than the sum of its proper divisors (22642130).

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

13926400 is an frugal number, since it uses more digits than its factorization.

13926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 13926400 is about 3731.8092127010. The cubic root of 13926400 is about 240.5911353928.

The spelling of 13926400 in words is "thirteen million, nine hundred twenty-six thousand, four hundred".