12315680 has 96 divisors (see below), whose sum is σ = 32514048. Its totient is φ = 4377600.

The previous prime is 12315679. The next prime is 12315707. The reversal of 12315680 is 8651321.

12315680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12315680³ (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (26) 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 (26).

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, 64385 + ... + 64575.

It is an arithmetic number, because the mean of its divisors is an integer number (338688).

Almost surely, 2^12315680 is an apocalyptic number.

12315680 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 12315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257024).

12315680 is an abundant number, since it is smaller than the sum of its proper divisors (20198368).

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

12315680 is a wasteful number, since it uses less digits than its factorization.

12315680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 12315680 is about 3509.3703138882. The cubic root of 12315680 is about 230.9330715695.

The spelling of 12315680 in words is "twelve million, three hundred fifteen thousand, six hundred eighty".