13585780 has 24 divisors (see below), whose sum is σ = 30725352. Its totient is φ = 5016192.

The previous prime is 13585777. The next prime is 13585783. The reversal of 13585780 is 8758531.

It is an interprime number because it is at equal distance from previous prime (13585777) and next prime (13585783).

It can be written as a sum of positive squares in 4 ways, for example, as 13924 + 13571856 = 118^2 + 3684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13585783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25867 + ... + 26386.

It is an arithmetic number, because the mean of its divisors is an integer number (1280223).

Almost surely, 2^13585780 is an apocalyptic number.

13585780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13585780 is an abundant number, since it is smaller than the sum of its proper divisors (17139572).

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

13585780 is a wasteful number, since it uses less digits than its factorization.

13585780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52275 (or 52273 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 13585780 is about 3685.8893092441. The cubic root of 13585780 is about 238.6134165745.

It can be divided in two parts, 13585 and 780, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 13585780 in words is "thirteen million, five hundred eighty-five thousand, seven hundred eighty".