13726800 has 240 divisors, whose sum is σ = 51663360. Its totient is φ = 3456000.

The previous prime is 13726781. The next prime is 13726849. The reversal of 13726800 is 862731.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334780 + ... + 334820.

It is an arithmetic number, because the mean of its divisors is an integer number (215264).

Almost surely, 2^13726800 is an apocalyptic number.

13726800 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 13726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25831680).

13726800 is an abundant number, since it is smaller than the sum of its proper divisors (37936560).

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

13726800 is a wasteful number, since it uses less digits than its factorization.

13726800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13726800 is about 3704.9696355031. The cubic root of 13726800 is about 239.4361764665.

The spelling of 13726800 in words is "thirteen million, seven hundred twenty-six thousand, eight hundred".