12678480 has 60 divisors (see below), whose sum is σ = 42580980. Its totient is φ = 3380736.

The previous prime is 12678469. The next prime is 12678493. The reversal of 12678480 is 8487621.

It can be written as a sum of positive squares in 2 ways, for example, as 7033104 + 5645376 = 2652^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×12678480² = 321487710220800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8085 + ... + 9524.

It is an arithmetic number, because the mean of its divisors is an integer number (709683).

Almost surely, 2^12678480 is an apocalyptic number.

12678480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12678480 is an abundant number, since it is smaller than the sum of its proper divisors (29902500).

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

12678480 is a wasteful number, since it uses less digits than its factorization.

12678480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17628 (or 17619 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 12678480 is about 3560.6853272930. The cubic root of 12678480 is about 233.1788001719.

It can be divided in two parts, 126 and 78480, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 12678480 in words is "twelve million, six hundred seventy-eight thousand, four hundred eighty".