13846800 has 120 divisors (see below), whose sum is σ = 48434400. Its totient is φ = 3353600.

The previous prime is 13846799. The next prime is 13846813. The reversal of 13846800 is 864831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12676 + ... + 13724.

It is an arithmetic number, because the mean of its divisors is an integer number (403620).

Almost surely, 2^13846800 is an apocalyptic number.

13846800 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 13846800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24217200).

13846800 is an abundant number, since it is smaller than the sum of its proper divisors (34587600).

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

13846800 is a wasteful number, since it uses less digits than its factorization.

13846800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13846800 is about 3721.1288609775. The cubic root of 13846800 is about 240.1318719719.

The spelling of 13846800 in words is "thirteen million, eight hundred forty-six thousand, eight hundred".