12264560 has 120 divisors (see below), whose sum is σ = 36018528. Its totient is φ = 3801600.

The previous prime is 12264547. The next prime is 12264563. The reversal of 12264560 is 6546221.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12264563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67670 + ... + 67850.

Almost surely, 2^12264560 is an apocalyptic number.

12264560 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 12264560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18009264).

12264560 is an abundant number, since it is smaller than the sum of its proper divisors (23753968).

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

12264560 is a wasteful number, since it uses less digits than its factorization.

12264560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 12264560 is about 3502.0793823099. The cubic root of 12264560 is about 230.6131089900.

The spelling of 12264560 in words is "twelve million, two hundred sixty-four thousand, five hundred sixty".