13005468 has 48 divisors (see below), whose sum is σ = 38536960. Its totient is φ = 3715632.

The previous prime is 13005457. The next prime is 13005491. The reversal of 13005468 is 86450031.

13005468 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 Harshad number since it is a multiple of its sum of digits (27).

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, 7846 + ... + 9357.

Almost surely, 2^13005468 is an apocalyptic number.

13005468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13005468 is an abundant number, since it is smaller than the sum of its proper divisors (25531492).

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

13005468 is a wasteful number, since it uses less digits than its factorization.

13005468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17223 (or 17215 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13005468 is about 3606.3094709134. The cubic root of 13005468 is about 235.1664310692.

Adding to 13005468 its reverse (86450031), we get a palindrome (99455499).

The spelling of 13005468 in words is "thirteen million, five thousand, four hundred sixty-eight".