13419168 has 96 divisors (see below), whose sum is σ = 42416640. Its totient is φ = 3628800.

The previous prime is 13419151. The next prime is 13419173. The reversal of 13419168 is 86191431.

It is a tau number, because it is divible by the number of its divisors (96).

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, 12243 + ... + 13293.

It is an arithmetic number, because the mean of its divisors is an integer number (441840).

Almost surely, 2^13419168 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 13419168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21208320).

13419168 is an abundant number, since it is smaller than the sum of its proper divisors (28997472).

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

13419168 is a wasteful number, since it uses less digits than its factorization.

13419168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1082 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 13419168 is about 3663.2182572159. The cubic root of 13419168 is about 237.6339735342.

The spelling of 13419168 in words is "thirteen million, four hundred nineteen thousand, one hundred sixty-eight".