12457680 has 40 divisors (see below), whose sum is σ = 38619552. Its totient is φ = 3321984.

The previous prime is 12457667. The next prime is 12457681. The reversal of 12457680 is 8675421.

12457680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12457681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25714 + ... + 26193.

Almost surely, 2^12457680 is an apocalyptic number.

12457680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12457680 is an abundant number, since it is smaller than the sum of its proper divisors (26161872).

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

12457680 is a wasteful number, since it uses less digits than its factorization.

12457680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51923 (or 51917 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 12457680 is about 3529.5438798802. The cubic root of 12457680 is about 231.8172361640.

The spelling of 12457680 in words is "twelve million, four hundred fifty-seven thousand, six hundred eighty".