13661280 has 144 divisors (see below), whose sum is σ = 47764080. Its totient is φ = 3554304.

The previous prime is 13661279. The next prime is 13661281. The reversal of 13661280 is 8216631.

It is an interprime number because it is at equal distance from previous prime (13661279) and next prime (13661281).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13661281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76231 + ... + 76409.

It is an arithmetic number, because the mean of its divisors is an integer number (331695).

Almost surely, 2^13661280 is an apocalyptic number.

13661280 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 13661280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23882040).

13661280 is an abundant number, since it is smaller than the sum of its proper divisors (34102800).

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

13661280 is a wasteful number, since it uses less digits than its factorization.

13661280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13661280 is about 3696.1168812688. The cubic root of 13661280 is about 239.0546142471.

It can be divided in two parts, 136 and 61280, that added together give a palindrome (61416).

The spelling of 13661280 in words is "thirteen million, six hundred sixty-one thousand, two hundred eighty".