13661310 has 64 divisors (see below), whose sum is σ = 36868608. Its totient is φ = 3214464.

The previous prime is 13661309. The next prime is 13661311. The reversal of 13661310 is 1316631.

It is an interprime number because it is at equal distance from previous prime (13661309) and next prime (13661311).

It is a super-2 number, since 2×13661310² = 373262781832200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13661311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8209 + ... + 9731.

It is an arithmetic number, because the mean of its divisors is an integer number (576072).

Almost surely, 2^13661310 is an apocalyptic number.

13661310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13661310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

13661310 is an abundant number, since it is smaller than the sum of its proper divisors (23207298).

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

13661310 is a wasteful number, since it uses less digits than its factorization.

13661310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 13661310 is about 3696.1209395798. The cubic root of 13661310 is about 239.0547892340.

Adding to 13661310 its reverse (1316631), we get a palindrome (14977941).

The spelling of 13661310 in words is "thirteen million, six hundred sixty-one thousand, three hundred ten".