12617540 has 36 divisors (see below), whose sum is σ = 28699524. Its totient is φ = 4657536.

The previous prime is 12617537. The next prime is 12617543. The reversal of 12617540 is 4571621.

It is an interprime number because it is at equal distance from previous prime (12617537) and next prime (12617543).

It can be written as a sum of positive squares in 6 ways, for example, as 2262016 + 10355524 = 1504^2 + 3218^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (12617543) 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, 1514 + ... + 5246.

It is an arithmetic number, because the mean of its divisors is an integer number (797209).

Almost surely, 2^12617540 is an apocalyptic number.

12617540 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 12617540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14349762).

12617540 is an abundant number, since it is smaller than the sum of its proper divisors (16081984).

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

12617540 is a wasteful number, since it uses less digits than its factorization.

12617540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 12617540 is about 3552.1176782308. The cubic root of 12617540 is about 232.8046032635.

The spelling of 12617540 in words is "twelve million, six hundred seventeen thousand, five hundred forty".