12809610 has 128 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 2928960.

The previous prime is 12809609. The next prime is 12809611. The reversal of 12809610 is 1690821.

12809610 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12809609) and next prime (12809611).

It is a super-2 number, since 2×12809610² = 328172216704200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12809611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56317 + ... + 56543.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 2^12809610 is an apocalyptic number.

12809610 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 12809610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

12809610 is an abundant number, since it is smaller than the sum of its proper divisors (26588790).

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

12809610 is a wasteful number, since it uses less digits than its factorization.

12809610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 12809610 is about 3579.0515503412. The cubic root of 12809610 is about 233.9799456844.

The spelling of 12809610 in words is "twelve million, eight hundred nine thousand, six hundred ten".