13694560 has 96 divisors (see below), whose sum is σ = 36578304. Its totient is φ = 4800000.

The previous prime is 13694543. The next prime is 13694563. The reversal of 13694560 is 6549631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13694563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54435 + ... + 54685.

It is an arithmetic number, because the mean of its divisors is an integer number (381024).

Almost surely, 2^13694560 is an apocalyptic number.

13694560 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 13694560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152).

13694560 is an abundant number, since it is smaller than the sum of its proper divisors (22883744).

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

13694560 is a wasteful number, since it uses less digits than its factorization.

13694560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 13694560 is about 3700.6161649109. The cubic root of 13694560 is about 239.2485757211.

Subtracting from 13694560 its reverse (6549631), we obtain a square (7144929 = 2673²).

It can be divided in two parts, 1369 and 4560, that added together give a square (5929 = 77²).

The spelling of 13694560 in words is "thirteen million, six hundred ninety-four thousand, five hundred sixty".