12617160 has 32 divisors (see below), whose sum is σ = 37851840. Its totient is φ = 3364544.

The previous prime is 12617153. The next prime is 12617161. The reversal of 12617160 is 6171621.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12617160.

It is not an unprimeable number, because it can be changed into a prime (12617161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52452 + ... + 52691.

It is an arithmetic number, because the mean of its divisors is an integer number (1182870).

Almost surely, 2^12617160 is an apocalyptic number.

12617160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12617160 is an abundant number, since it is smaller than the sum of its proper divisors (25234680).

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

12617160 is a wasteful number, since it uses less digits than its factorization.

12617160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105157 (or 105153 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 12617160 is about 3552.0641886092. The cubic root of 12617160 is about 232.8022661297.

Adding to 12617160 its reverse (6171621), we get a palindrome (18788781).

It can be divided in two parts, 126 and 17160, that multiplied together give a triangular number (2162160 = T₂₀₇₉).

The spelling of 12617160 in words is "twelve million, six hundred seventeen thousand, one hundred sixty".