12776064 has 128 divisors (see below), whose sum is σ = 39984000. Its totient is φ = 3612672.

The previous prime is 12776059. The next prime is 12776069. The reversal of 12776064 is 46067721.

It is an interprime number because it is at equal distance from previous prime (12776059) and next prime (12776069).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12776064² = 326455622664192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12776069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131664 + ... + 131760.

It is an arithmetic number, because the mean of its divisors is an integer number (312375).

Almost surely, 2^12776064 is an apocalyptic number.

12776064 is a gapful number since it is divisible by the number (14) 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 12776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992000).

12776064 is an abundant number, since it is smaller than the sum of its proper divisors (27207936).

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

12776064 is an frugal number, since it uses more digits than its factorization.

12776064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 12776064 is about 3574.3620409802. The cubic root of 12776064 is about 233.7755170557.

The spelling of 12776064 in words is "twelve million, seven hundred seventy-six thousand, sixty-four".