12807630 has 96 divisors (see below), whose sum is σ = 38514528. Its totient is φ = 2918400.

The previous prime is 12807623. The next prime is 12807643. The reversal of 12807630 is 3670821.

12807630 = T₁₂₁₉ + T₁₂₂₀ + ... + T₁₂₃₅.

12807630 is a `hidden beast` number, since 1 + 28 + 0 + 7 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12807594 and 12807603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16450 + ... + 17210.

It is an arithmetic number, because the mean of its divisors is an integer number (401193).

Almost surely, 2^12807630 is an apocalyptic number.

12807630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12807630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19257264).

12807630 is an abundant number, since it is smaller than the sum of its proper divisors (25706898).

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

12807630 is a wasteful number, since it uses less digits than its factorization.

12807630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12807630 is about 3578.7749300564. The cubic root of 12807630 is about 233.9678895233.

The spelling of 12807630 in words is "twelve million, eight hundred seven thousand, six hundred thirty".