13720608 has 144 divisors (see below), whose sum is σ = 43872192. Its totient is φ = 4032000.

The previous prime is 13720591. The next prime is 13720613. The reversal of 13720608 is 80602731.

13720608 is a `hidden beast` number, since 1 + 37 + 20 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193213 + ... + 193283.

It is an arithmetic number, because the mean of its divisors is an integer number (304668).

Almost surely, 2^13720608 is an apocalyptic number.

13720608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13720608 is the 2343-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13720608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936096).

13720608 is an abundant number, since it is smaller than the sum of its proper divisors (30151584).

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

13720608 is a wasteful number, since it uses less digits than its factorization.

13720608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13720608 is about 3704.1339068668. The cubic root of 13720608 is about 239.4001687593.

The spelling of 13720608 in words is "thirteen million, seven hundred twenty thousand, six hundred eight".