13794720 has 96 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3548160.

The previous prime is 13794707. The next prime is 13794727. The reversal of 13794720 is 2749731.

13794720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13794727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13425 + ... + 14415.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^13794720 is an apocalyptic number.

13794720 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 13794720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

13794720 is an abundant number, since it is smaller than the sum of its proper divisors (31202400).

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

13794720 is a wasteful number, since it uses less digits than its factorization.

13794720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 13794720 is about 3714.1243921011. The cubic root of 13794720 is about 239.8304357837.

The spelling of 13794720 in words is "thirteen million, seven hundred ninety-four thousand, seven hundred twenty".