13660164 has 120 divisors (see below), whose sum is σ = 43095360. Its totient is φ = 3685824.

The previous prime is 13660159. The next prime is 13660193. The reversal of 13660164 is 46106631.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42934 + ... + 43250.

It is an arithmetic number, because the mean of its divisors is an integer number (359128).

Almost surely, 2^13660164 is an apocalyptic number.

13660164 is a gapful number since it is divisible by the number (14) 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 13660164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21547680).

13660164 is an abundant number, since it is smaller than the sum of its proper divisors (29435196).

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

13660164 is a wasteful number, since it uses less digits than its factorization.

13660164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13660164 is about 3695.9659089337. The cubic root of 13660164 is about 239.0481045542.

Adding to 13660164 its reverse (46106631), we get a palindrome (59766795).

It can be divided in two parts, 13660 and 164, that added together give a cube (13824 = 24³).

The spelling of 13660164 in words is "thirteen million, six hundred sixty thousand, one hundred sixty-four".