12715632 has 60 divisors (see below), whose sum is σ = 35834760. Its totient is φ = 4209024.

The previous prime is 12715631. The next prime is 12715649. The reversal of 12715632 is 23651721.

It is a happy number.

12715632 is a `hidden beast` number, since 1 + 27 + 1 + 5 + 632 = 666.

Its product of digits (2520) is a multiple of the sum of its prime factors (630).

It is a junction number, because it is equal to n+sod(n) for n = 12715596 and 12715605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12715631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32494 + ... + 32882.

It is an arithmetic number, because the mean of its divisors is an integer number (597246).

Almost surely, 2^12715632 is an apocalyptic number.

12715632 is a gapful number since it is divisible by the number (12) 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 12715632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17917380).

12715632 is an abundant number, since it is smaller than the sum of its proper divisors (23119128).

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

12715632 is a wasteful number, since it uses less digits than its factorization.

12715632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 621 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 12715632 is about 3565.8984842533. The cubic root of 12715632 is about 233.4063408731.

It can be divided in two parts, 1271 and 5632, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 12715632 in words is "twelve million, seven hundred fifteen thousand, six hundred thirty-two".