13826800 has 60 divisors (see below), whose sum is σ = 35787640. Its totient is φ = 5103360.

The previous prime is 13826783. The next prime is 13826807. The reversal of 13826800 is 862831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13826807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3871 + ... + 6529.

Almost surely, 2^13826800 is an apocalyptic number.

13826800 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 13826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17893820).

13826800 is an abundant number, since it is smaller than the sum of its proper divisors (21960840).

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

13826800 is a wasteful number, since it uses less digits than its factorization.

13826800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 13826800 is about 3718.4405333419. The cubic root of 13826800 is about 240.0162026098.

The spelling of 13826800 in words is "thirteen million, eight hundred twenty-six thousand, eight hundred".