13952568 has 64 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 3908736.

The previous prime is 13952557. The next prime is 13952599. The reversal of 13952568 is 86525931.

13952568 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 8121 + ... + 9687.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^13952568 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 13952568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

13952568 is an abundant number, since it is smaller than the sum of its proper divisors (26689992).

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

13952568 is a wasteful number, since it uses less digits than its factorization.

13952568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1632 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 13952568 is about 3735.3136414497. The cubic root of 13952568 is about 240.7417330499.

The spelling of 13952568 in words is "thirteen million, nine hundred fifty-two thousand, five hundred sixty-eight".