12696480 has 96 divisors (see below), whose sum is σ = 44452800. Its totient is φ = 3384576.

The previous prime is 12696469. The next prime is 12696487. The reversal of 12696480 is 8469621.

12696480 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12696480² = 322401208780800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12696487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2851 + ... + 5789.

It is an arithmetic number, because the mean of its divisors is an integer number (463050).

Almost surely, 2^12696480 is an apocalyptic number.

12696480 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 12696480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22226400).

12696480 is an abundant number, since it is smaller than the sum of its proper divisors (31756320).

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

12696480 is a wasteful number, since it uses less digits than its factorization.

12696480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12696480 is about 3563.2120341063. The cubic root of 12696480 is about 233.2890981904.

The spelling of 12696480 in words is "twelve million, six hundred ninety-six thousand, four hundred eighty".