13417680 has 80 divisors (see below), whose sum is σ = 42747264. Its totient is φ = 3479040.

The previous prime is 13417673. The next prime is 13417681. The reversal of 13417680 is 8671431.

It is a happy number.

13417680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13417681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8125 + ... + 9635.

Almost surely, 2^13417680 is an apocalyptic number.

13417680 is a gapful number since it is divisible by the number (10) 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 13417680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

13417680 is an abundant number, since it is smaller than the sum of its proper divisors (29329584).

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

13417680 is a wasteful number, since it uses less digits than its factorization.

13417680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13417680 is about 3663.0151514838. The cubic root of 13417680 is about 237.6251897700.

The spelling of 13417680 in words is "thirteen million, four hundred seventeen thousand, six hundred eighty".