13827400 has 48 divisors (see below), whose sum is σ = 32855040. Its totient is φ = 5409600.

The previous prime is 13827397. The next prime is 13827431. The reversal of 13827400 is 472831.

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

It is a congruent number.

It is an unprimeable number.

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, 8665 + ... + 10135.

It is an arithmetic number, because the mean of its divisors is an integer number (684480).

Almost surely, 2^13827400 is an apocalyptic number.

13827400 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 13827400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16427520).

13827400 is an abundant number, since it is smaller than the sum of its proper divisors (19027640).

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

13827400 is a wasteful number, since it uses less digits than its factorization.

13827400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 13827400 is about 3718.5212114495. The cubic root of 13827400 is about 240.0196743131.

The spelling of 13827400 in words is "thirteen million, eight hundred twenty-seven thousand, four hundred".