12863520 has 72 divisors (see below), whose sum is σ = 43901676. Its totient is φ = 3429888.

The previous prime is 12863507. The next prime is 12863527. The reversal of 12863520 is 2536821.

12863520 is a `hidden beast` number, since 1 + 2 + 8 + 635 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12362256 + 501264 = 3516^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (12863527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3027 + ... + 5906.

Almost surely, 2^12863520 is an apocalyptic number.

12863520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12863520 is an abundant number, since it is smaller than the sum of its proper divisors (31038156).

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

12863520 is a wasteful number, since it uses less digits than its factorization.

12863520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8954 (or 8943 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12863520 is about 3586.5749678489. The cubic root of 12863520 is about 234.3077257583.

The spelling of 12863520 in words is "twelve million, eight hundred sixty-three thousand, five hundred twenty".