13024968 has 64 divisors (see below), whose sum is σ = 35942400. Its totient is φ = 3900480.

The previous prime is 13024931. The next prime is 13024981. The reversal of 13024968 is 86942031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26953 + ... + 27431.

It is an arithmetic number, because the mean of its divisors is an integer number (561600).

Almost surely, 2^13024968 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 13024968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971200).

13024968 is an abundant number, since it is smaller than the sum of its proper divisors (22917432).

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

13024968 is a wasteful number, since it uses less digits than its factorization.

13024968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 598 counting only the distinct ones).

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

The square root of 13024968 is about 3609.0120531802. The cubic root of 13024968 is about 235.2839061549.

Adding to 13024968 its reverse (86942031), we get a palindrome (99966999).

The spelling of 13024968 in words is "thirteen million, twenty-four thousand, nine hundred sixty-eight".