13946400 has 216 divisors, whose sum is σ = 53316900. Its totient is φ = 3409920.

The previous prime is 13946393. The next prime is 13946411. The reversal of 13946400 is 464931.

13946400 is a `hidden beast` number, since 13 + 9 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 725904 + 13220496 = 852^2 + 3636^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93526 + ... + 93674.

Almost surely, 2^13946400 is an apocalyptic number.

13946400 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 13946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26658450).

13946400 is an abundant number, since it is smaller than the sum of its proper divisors (39370500).

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

13946400 is a wasteful number, since it uses less digits than its factorization.

13946400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13946400 is about 3734.4879167029. The cubic root of 13946400 is about 240.7062529894.

The spelling of 13946400 in words is "thirteen million, nine hundred forty-six thousand, four hundred".