13652968 has 48 divisors (see below), whose sum is σ = 30831300. Its totient is φ = 5644800.

The previous prime is 13652957. The next prime is 13652993. The reversal of 13652968 is 86925631.

It can be written as a sum of positive squares in 2 ways, for example, as 11957764 + 1695204 = 3458^2 + 1302^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13652968.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10768 + ... + 11968.

Almost surely, 2^13652968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13652968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15415650).

13652968 is an abundant number, since it is smaller than the sum of its proper divisors (17178332).

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

13652968 is a wasteful number, since it uses less digits than its factorization.

13652968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1239 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The square root of 13652968 is about 3694.9922868661. The cubic root of 13652968 is about 239.0061213514.

The spelling of 13652968 in words is "thirteen million, six hundred fifty-two thousand, nine hundred sixty-eight".