13968024 has 128 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 3709440.

The previous prime is 13968001. The next prime is 13968037. The reversal of 13968024 is 42086931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228954 + ... + 229014.

It is an arithmetic number, because the mean of its divisors is an integer number (334800).

Almost surely, 2^13968024 is an apocalyptic number.

13968024 is a gapful number since it is divisible by the number (14) 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 13968024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

13968024 is an abundant number, since it is smaller than the sum of its proper divisors (28886376).

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

13968024 is a wasteful number, since it uses less digits than its factorization.

13968024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 13968024 is about 3737.3819713805. The cubic root of 13968024 is about 240.8305943769.

The spelling of 13968024 in words is "thirteen million, nine hundred sixty-eight thousand, twenty-four".