13355760 has 80 divisors (see below), whose sum is σ = 45175680. Its totient is φ = 3237120.

The previous prime is 13355759. The next prime is 13355789. The reversal of 13355760 is 6755331.

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 an unprimeable number.

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, 111 + ... + 5169.

It is an arithmetic number, because the mean of its divisors is an integer number (564696).

Almost surely, 2^13355760 is an apocalyptic number.

13355760 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 13355760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587840).

13355760 is an abundant number, since it is smaller than the sum of its proper divisors (31819920).

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

13355760 is a wasteful number, since it uses less digits than its factorization.

13355760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 13355760 is about 3654.5533242792. The cubic root of 13355760 is about 237.2590945965.

The spelling of 13355760 in words is "thirteen million, three hundred fifty-five thousand, seven hundred sixty".