13661760 has 224 divisors, whose sum is σ = 52669440. Its totient is φ = 2930688.

The previous prime is 13661759. The next prime is 13661773. The reversal of 13661760 is 6716631.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127627 + ... + 127733.

Almost surely, 2^13661760 is an apocalyptic number.

13661760 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 13661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26334720).

13661760 is an abundant number, since it is smaller than the sum of its proper divisors (39007680).

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

13661760 is a wasteful number, since it uses less digits than its factorization.

13661760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 13661760 is about 3696.1818137099. The cubic root of 13661760 is about 239.0574140060.

The spelling of 13661760 in words is "thirteen million, six hundred sixty-one thousand, seven hundred sixty".