13836960 has 96 divisors (see below), whose sum is σ = 48444480. Its totient is φ = 3688704.

The previous prime is 13836947. The next prime is 13836971. The reversal of 13836960 is 6963831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13836960² = 382922924083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2719 + ... + 5921.

It is an arithmetic number, because the mean of its divisors is an integer number (504630).

Almost surely, 2^13836960 is an apocalyptic number.

13836960 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 13836960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24222240).

13836960 is an abundant number, since it is smaller than the sum of its proper divisors (34607520).

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

13836960 is a wasteful number, since it uses less digits than its factorization.

13836960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 13836960 is about 3719.8064465776. The cubic root of 13836960 is about 240.0749765747.

The spelling of 13836960 in words is "thirteen million, eight hundred thirty-six thousand, nine hundred sixty".