12506640 has 120 divisors (see below), whose sum is σ = 41021184. Its totient is φ = 3148800.

The previous prime is 12506587. The next prime is 12506651. The reversal of 12506640 is 4660521.

12506640 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12506640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305020 + ... + 305060.

Almost surely, 2^12506640 is an apocalyptic number.

12506640 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 12506640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20510592).

12506640 is an abundant number, since it is smaller than the sum of its proper divisors (28514544).

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

12506640 is a wasteful number, since it uses less digits than its factorization.

12506640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 12506640 is about 3536.4728190670. The cubic root of 12506640 is about 232.1205279396.

The spelling of 12506640 in words is "twelve million, five hundred six thousand, six hundred forty".