13972608 has 128 divisors (see below), whose sum is σ = 44553600. Its totient is φ = 4285440.

The previous prime is 13972597. The next prime is 13972669. The reversal of 13972608 is 80627931.

13972608 is a `hidden beast` number, since 1 + 397 + 260 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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, 44773 + ... + 45083.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 2^13972608 is an apocalyptic number.

13972608 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 13972608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800).

13972608 is an abundant number, since it is smaller than the sum of its proper divisors (30580992).

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

13972608 is a wasteful number, since it uses less digits than its factorization.

13972608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

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

The square root of 13972608 is about 3737.9951845876. The cubic root of 13972608 is about 240.8569366069.

Adding to 13972608 its sum of digits (36), we get a square (13972644 = 3738²).

It can be divided in two parts, 1397 and 2608, that added together give a triangular number (4005 = T₈₉).

The spelling of 13972608 in words is "thirteen million, nine hundred seventy-two thousand, six hundred eight".