12771864 has 64 divisors (see below), whose sum is σ = 40550400. Its totient is φ = 3648672.

The previous prime is 12771853. The next prime is 12771883. The reversal of 12771864 is 46817721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2712 + ... + 5735.

It is an arithmetic number, because the mean of its divisors is an integer number (633600).

Almost surely, 2^12771864 is an apocalyptic number.

12771864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12771864 is an abundant number, since it is smaller than the sum of its proper divisors (27778536).

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

12771864 is a wasteful number, since it uses less digits than its factorization.

12771864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8469 (or 8459 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 12771864 is about 3573.7744752572. The cubic root of 12771864 is about 233.7498971470.

The spelling of 12771864 in words is "twelve million, seven hundred seventy-one thousand, eight hundred sixty-four".