13175680 has 128 divisors (see below), whose sum is σ = 38335680. Its totient is φ = 4227072.

The previous prime is 13175633. The next prime is 13175681. The reversal of 13175680 is 8657131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13175681) 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, 76074 + ... + 76246.

Almost surely, 2^13175680 is an apocalyptic number.

13175680 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 13175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19167840).

13175680 is an abundant number, since it is smaller than the sum of its proper divisors (25160000).

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

13175680 is a wasteful number, since it uses less digits than its factorization.

13175680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 13175680 is about 3629.8319520330. The cubic root of 13175680 is about 236.1879188894.

The spelling of 13175680 in words is "thirteen million, one hundred seventy-five thousand, six hundred eighty".