12007680 has 144 divisors (see below), whose sum is σ = 39735360. Its totient is φ = 3088384.

The previous prime is 12007669. The next prime is 12007747. The reversal of 12007680 is 8670021.

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 12007680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203491 + ... + 203549.

It is an arithmetic number, because the mean of its divisors is an integer number (275940).

Almost surely, 2^12007680 is an apocalyptic number.

12007680 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 12007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19867680).

12007680 is an abundant number, since it is smaller than the sum of its proper divisors (27727680).

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

12007680 is an equidigital number, since it uses as much as digits as its factorization.

12007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 12007680 is about 3465.2099503493. The cubic root of 12007680 is about 228.9916792359.

The spelling of 12007680 in words is "twelve million, seven thousand, six hundred eighty".