13812960 has 96 divisors (see below), whose sum is σ = 49738752. Its totient is φ = 3156480.

The previous prime is 13812919. The next prime is 13812977. The reversal of 13812960 is 6921831.

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

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 15 ways as a sum of consecutive naturals, for example, 1305 + ... + 5415.

It is an arithmetic number, because the mean of its divisors is an integer number (518112).

Almost surely, 2^13812960 is an apocalyptic number.

13812960 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 13812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24869376).

13812960 is an abundant number, since it is smaller than the sum of its proper divisors (35925792).

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

13812960 is a wasteful number, since it uses less digits than its factorization.

13812960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 13812960 is about 3716.5790722114. The cubic root of 13812960 is about 239.9360940961.

The spelling of 13812960 in words is "thirteen million, eight hundred twelve thousand, nine hundred sixty".