13603968 has 144 divisors (see below), whose sum is σ = 45727110. Its totient is φ = 3870720.

The previous prime is 13603937. The next prime is 13603969. The reversal of 13603968 is 86930631.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10188864 + 3415104 = 3192^2 + 1848^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (13603969) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56328 + ... + 56568.

Almost surely, 2^13603968 is an apocalyptic number.

13603968 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 13603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22863555).

13603968 is an abundant number, since it is smaller than the sum of its proper divisors (32123142).

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

13603968 is a wasteful number, since it uses less digits than its factorization.

13603968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 13603968 is about 3688.3557312168. The cubic root of 13603968 is about 238.7198505463.

The spelling of 13603968 in words is "thirteen million, six hundred three thousand, nine hundred sixty-eight".