13780560 has 80 divisors (see below), whose sum is σ = 43407936. Its totient is φ = 3615744.

The previous prime is 13780553. The next prime is 13780561. The reversal of 13780560 is 6508731.

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 (13780561) 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, 15652 + ... + 16508.

Almost surely, 2^13780560 is an apocalyptic number.

13780560 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 13780560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21703968).

13780560 is an abundant number, since it is smaller than the sum of its proper divisors (29627376).

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

13780560 is a wasteful number, since it uses less digits than its factorization.

13780560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 13780560 is about 3712.2176660320. The cubic root of 13780560 is about 239.7483473322.

The spelling of 13780560 in words is "thirteen million, seven hundred eighty thousand, five hundred sixty".