12964096 has 36 divisors (see below), whose sum is σ = 26214300. Its totient is φ = 6397952.

The previous prime is 12964087. The next prime is 12964117. The reversal of 12964096 is 69046921.

It can be written as a sum of positive squares in 2 ways, for example, as 2310400 + 10653696 = 1520^2 + 3264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22500 + ... + 23068.

It is an arithmetic number, because the mean of its divisors is an integer number (728175).

Almost surely, 2^12964096 is an apocalyptic number.

12964096 is a gapful number since it is divisible by the number (16) 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 12964096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107150).

12964096 is an abundant number, since it is smaller than the sum of its proper divisors (13250204).

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

12964096 is an frugal number, since it uses more digits than its factorization.

12964096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 12964096 is about 3600.5688439467. The cubic root of 12964096 is about 234.9168016936.

It can be divided in two parts, 1296 and 4096, that multiplied together give a 4-th power (5308416 = 48⁴).

The spelling of 12964096 in words is "twelve million, nine hundred sixty-four thousand, ninety-six".