13171680 has 96 divisors (see below), whose sum is σ = 46116000. Its totient is φ = 3511296.

The previous prime is 13171673. The next prime is 13171681. The reversal of 13171680 is 8617131.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13171681) by changing a digit.

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, 2796 + ... + 5844.

It is an arithmetic number, because the mean of its divisors is an integer number (480375).

Almost surely, 2^13171680 is an apocalyptic number.

13171680 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 13171680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23058000).

13171680 is an abundant number, since it is smaller than the sum of its proper divisors (32944320).

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

13171680 is a wasteful number, since it uses less digits than its factorization.

13171680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 13171680 is about 3629.2809205130. The cubic root of 13171680 is about 236.1640150682.

The spelling of 13171680 in words is "thirteen million, one hundred seventy-one thousand, six hundred eighty".