13468416 has 144 divisors (see below), whose sum is σ = 41207040. Its totient is φ = 3870720.

The previous prime is 13468393. The next prime is 13468421. The reversal of 13468416 is 61486431.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (13824) is a multiple of the sum of its prime divisors (108).

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, 189661 + ... + 189731.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 2^13468416 is an apocalyptic number.

13468416 is a gapful number since it is divisible by the number (16) 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 13468416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).

13468416 is an abundant number, since it is smaller than the sum of its proper divisors (27738624).

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

13468416 is a wasteful number, since it uses less digits than its factorization.

13468416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 13468416 is about 3669.9340593531. The cubic root of 13468416 is about 237.9243221480.

The spelling of 13468416 in words is "thirteen million, four hundred sixty-eight thousand, four hundred sixteen".