12617280 has 168 divisors, whose sum is σ = 46875192. Its totient is φ = 3096576.

The previous prime is 12617257. The next prime is 12617287. The reversal of 12617280 is 8271621.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 12616704 = 24^2 + 3552^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12617287) 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, 37272 + ... + 37608.

It is an arithmetic number, because the mean of its divisors is an integer number (279019).

Almost surely, 2^12617280 is an apocalyptic number.

12617280 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 12617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23437596).

12617280 is an abundant number, since it is smaller than the sum of its proper divisors (34257912).

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

12617280 is a wasteful number, since it uses less digits than its factorization.

12617280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12617280 is about 3552.0810801557. The cubic root of 12617280 is about 232.8030041771.

The spelling of 12617280 in words is "twelve million, six hundred seventeen thousand, two hundred eighty".