13794300 has 180 divisors, whose sum is σ = 48522936. Its totient is φ = 3369600.

The previous prime is 13794241. The next prime is 13794307. The reversal of 13794300 is 349731.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13794307) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105235 + ... + 105365.

Almost surely, 2^13794300 is an apocalyptic number.

13794300 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 13794300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24261468).

13794300 is an abundant number, since it is smaller than the sum of its proper divisors (34728636).

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

13794300 is a wasteful number, since it uses less digits than its factorization.

13794300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13794300 is about 3714.0678507534. The cubic root of 13794300 is about 239.8280017653.

The spelling of 13794300 in words is "thirteen million, seven hundred ninety-four thousand, three hundred".