12765564 has 72 divisors (see below), whose sum is σ = 37215360. Its totient is φ = 3614112.

The previous prime is 12765559. The next prime is 12765569. The reversal of 12765564 is 46556721.

It is a happy number.

12765564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12765559) and next prime (12765569).

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12765569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44967 + ... + 45249.

It is an arithmetic number, because the mean of its divisors is an integer number (516880).

Almost surely, 2^12765564 is an apocalyptic number.

12765564 is a gapful number since it is divisible by the number (14) 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 12765564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18607680).

12765564 is an abundant number, since it is smaller than the sum of its proper divisors (24449796).

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

12765564 is a wasteful number, since it uses less digits than its factorization.

12765564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 474 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 12765564 is about 3572.8929454995. The cubic root of 12765564 is about 233.7114567503.

The spelling of 12765564 in words is "twelve million, seven hundred sixty-five thousand, five hundred sixty-four".