13846000 has 160 divisors (see below), whose sum is σ = 40854528. Its totient is φ = 4435200.

The previous prime is 13845991. The next prime is 13846037. The reversal of 13846000 is 64831.

13846000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321979 + ... + 322021.

Almost surely, 2^13846000 is an apocalyptic number.

13846000 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 13846000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20427264).

13846000 is an abundant number, since it is smaller than the sum of its proper divisors (27008528).

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

13846000 is a wasteful number, since it uses less digits than its factorization.

13846000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 13846000 is about 3721.0213651631. The cubic root of 13846000 is about 240.1272473367.

The spelling of 13846000 in words is "thirteen million, eight hundred forty-six thousand".