12987810 has 64 divisors (see below), whose sum is σ = 37791360. Its totient is φ = 3147840.

The previous prime is 12987797. The next prime is 12987829. The reversal of 12987810 is 1878921.

It is a super-2 number, since 2×12987810² = 337366417192200, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

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 31 ways as a sum of consecutive naturals, for example, 784 + ... + 5156.

It is an arithmetic number, because the mean of its divisors is an integer number (590490).

Almost surely, 2^12987810 is an apocalyptic number.

12987810 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 12987810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18895680).

12987810 is an abundant number, since it is smaller than the sum of its proper divisors (24803550).

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

12987810 is a wasteful number, since it uses less digits than its factorization.

12987810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 12987810 is about 3603.8604301499. The cubic root of 12987810 is about 235.0599515068.

Subtracting from 12987810 its reverse (1878921), we obtain a square (11108889 = 3333²).

The spelling of 12987810 in words is "twelve million, nine hundred eighty-seven thousand, eight hundred ten".