12617568 has 72 divisors (see below), whose sum is σ = 36226008. Its totient is φ = 4165632.

The previous prime is 12617567. The next prime is 12617569. The reversal of 12617568 is 86571621.

It is an interprime number because it is at equal distance from previous prime (12617567) and next prime (12617569).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12617567) 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, 55471 + ... + 55697.

It is an arithmetic number, because the mean of its divisors is an integer number (503139).

Almost surely, 2^12617568 is an apocalyptic number.

12617568 is a gapful number since it is divisible by the number (18) 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 12617568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18113004).

12617568 is an abundant number, since it is smaller than the sum of its proper divisors (23608440).

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

12617568 is a wasteful number, since it uses less digits than its factorization.

12617568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 425 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 12617568 is about 3552.1216195395. The cubic root of 12617568 is about 232.8047754715.

The spelling of 12617568 in words is "twelve million, six hundred seventeen thousand, five hundred sixty-eight".