13793760 has 192 divisors, whose sum is σ = 50319360. Its totient is φ = 3525120.

The previous prime is 13793723. The next prime is 13793761. The reversal of 13793760 is 6739731.

13793760 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 Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13793761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133869 + ... + 133971.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^13793760 is an apocalyptic number.

13793760 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 13793760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

13793760 is an abundant number, since it is smaller than the sum of its proper divisors (36525600).

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

13793760 is a wasteful number, since it uses less digits than its factorization.

13793760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 13793760 is about 3713.9951534702. The cubic root of 13793760 is about 239.8248722405.

Adding to 13793760 its sum of digits (36), we get a square (13793796 = 3714²).

The spelling of 13793760 in words is "thirteen million, seven hundred ninety-three thousand, seven hundred sixty".