12637680 has 80 divisors (see below), whose sum is σ = 42747264. Its totient is φ = 3063040.

The previous prime is 12637673. The next prime is 12637693. The reversal of 12637680 is 8673621.

It is a tau number, because it is divible by the number of its divisors (80).

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 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, 247 + ... + 5033.

Almost surely, 2^12637680 is an apocalyptic number.

12637680 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 12637680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

12637680 is an abundant number, since it is smaller than the sum of its proper divisors (30109584).

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

12637680 is a wasteful number, since it uses less digits than its factorization.

12637680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 12637680 is about 3554.9514764621. The cubic root of 12637680 is about 232.9284042644.

The spelling of 12637680 in words is "twelve million, six hundred thirty-seven thousand, six hundred eighty".