12657480 has 128 divisors (see below), whose sum is σ = 42577920. Its totient is φ = 2983680.

The previous prime is 12657473. The next prime is 12657499. The reversal of 12657480 is 8475621.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56649 + ... + 56871.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 2^12657480 is an apocalyptic number.

12657480 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 12657480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288960).

12657480 is an abundant number, since it is smaller than the sum of its proper divisors (29920440).

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

12657480 is a wasteful number, since it uses less digits than its factorization.

12657480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

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

The square root of 12657480 is about 3557.7352346683. The cubic root of 12657480 is about 233.0499871262.

The spelling of 12657480 in words is "twelve million, six hundred fifty-seven thousand, four hundred eighty".