12615680 has 128 divisors (see below), whose sum is σ = 37748160. Its totient is φ = 3932160.

The previous prime is 12615653. The next prime is 12615697. The reversal of 12615680 is 8651621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146875 + ... + 1146885.

Almost surely, 2^12615680 is an apocalyptic number.

12615680 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 12615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18874080).

12615680 is an abundant number, since it is smaller than the sum of its proper divisors (25132480).

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

12615680 is an frugal number, since it uses more digits than its factorization.

12615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 12615680 is about 3551.8558529310. The cubic root of 12615680 is about 232.7931631613.

The spelling of 12615680 in words is "twelve million, six hundred fifteen thousand, six hundred eighty".