12587946 has 64 divisors (see below), whose sum is σ = 30578688. Its totient is φ = 3377088.

The previous prime is 12587941. The next prime is 12587951. The reversal of 12587946 is 64978521.

12587946 = 4² + 5² + ... + 335².

It is an interprime number because it is at equal distance from previous prime (12587941) and next prime (12587951).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12587898 and 12587907.

It is not an unprimeable number, because it can be changed into a prime (12587941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80100 + ... + 80256.

It is an arithmetic number, because the mean of its divisors is an integer number (477792).

Almost surely, 2^12587946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12587946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15289344).

12587946 is an abundant number, since it is smaller than the sum of its proper divisors (17990742).

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

12587946 is a wasteful number, since it uses less digits than its factorization.

12587946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275.

The product of its digits is 120960, while the sum is 42.

The square root of 12587946 is about 3547.9495486830. The cubic root of 12587946 is about 232.6224490847.

The spelling of 12587946 in words is "twelve million, five hundred eighty-seven thousand, nine hundred forty-six".