12853680 has 120 divisors (see below), whose sum is σ = 46394352. Its totient is φ = 2935296.

The previous prime is 12853657. The next prime is 12853693. The reversal of 12853680 is 8635821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11214 + ... + 12306.

Almost surely, 2^12853680 is an apocalyptic number.

12853680 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 12853680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23197176).

12853680 is an abundant number, since it is smaller than the sum of its proper divisors (33540672).

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

12853680 is a wasteful number, since it uses less digits than its factorization.

12853680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 12853680 is about 3585.2029231272. The cubic root of 12853680 is about 234.2479656470.

The spelling of 12853680 in words is "twelve million, eight hundred fifty-three thousand, six hundred eighty".