12872640 has 224 divisors, whose sum is σ = 47402496. Its totient is φ = 2928640.

The previous prime is 12872627. The next prime is 12872653. The reversal of 12872640 is 4627821.

It is an interprime number because it is at equal distance from previous prime (12872627) and next prime (12872653).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12872598 and 12872607.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 530 × 46 × 528.

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, 242854 + ... + 242906.

Almost surely, 2^12872640 is an apocalyptic number.

12872640 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 12872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23701248).

12872640 is an abundant number, since it is smaller than the sum of its proper divisors (34529856).

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

12872640 is a wasteful number, since it uses less digits than its factorization.

12872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 12872640 is about 3587.8461505477. The cubic root of 12872640 is about 234.3630859722.

The spelling of 12872640 in words is "twelve million, eight hundred seventy-two thousand, six hundred forty".