13351680 has 216 divisors, whose sum is σ = 49423920. Its totient is φ = 3317760.

The previous prime is 13351673. The next prime is 13351697. The reversal of 13351680 is 8615331.

13351680 = T₁₁₇₆ + T₁₁₇₇ + ... + T₁₁₉₄.

13351680 = 89³ + 90³ + ... + 103³.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218850 + ... + 218910.

Almost surely, 2^13351680 is an apocalyptic number.

13351680 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 13351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24711960).

13351680 is an abundant number, since it is smaller than the sum of its proper divisors (36072240).

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

13351680 is a wasteful number, since it uses less digits than its factorization.

13351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13351680 is about 3653.9950738883. The cubic root of 13351680 is about 237.2349323450.

The spelling of 13351680 in words is "thirteen million, three hundred fifty-one thousand, six hundred eighty".