13920768 has 160 divisors (see below), whose sum is σ = 44193600. Its totient is φ = 4313088.

The previous prime is 13920743. The next prime is 13920779. The reversal of 13920768 is 86702931.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262630 + ... + 262682.

It is an arithmetic number, because the mean of its divisors is an integer number (276210).

Almost surely, 2^13920768 is an apocalyptic number.

13920768 is a gapful number since it is divisible by the number (18) 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 13920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22096800).

13920768 is an abundant number, since it is smaller than the sum of its proper divisors (30272832).

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

13920768 is an equidigital number, since it uses as much as digits as its factorization.

13920768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13920768 is about 3731.0545426193. The cubic root of 13920768 is about 240.5586983912.

The spelling of 13920768 in words is "thirteen million, nine hundred twenty thousand, seven hundred sixty-eight".