12964900 has 36 divisors (see below), whose sum is σ = 30301012. Its totient is φ = 4786560.

The previous prime is 12964877. The next prime is 12964901. The reversal of 12964900 is 946921.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3564544 + 9400356 = 1888^2 + 3066^2 .

It is not an unprimeable number, because it can be changed into a prime (12964901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3687 + ... + 6286.

Almost surely, 2^12964900 is an apocalyptic number.

12964900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12964900 is an abundant number, since it is smaller than the sum of its proper divisors (17336112).

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

12964900 is a wasteful number, since it uses less digits than its factorization.

12964900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000 (or 9993 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 12964900 is about 3600.6804912405. The cubic root of 12964900 is about 234.9216579059.

It can be divided in two parts, 1296 and 4900, that multiplied together give a square (6350400 = 2520²).

The spelling of 12964900 in words is "twelve million, nine hundred sixty-four thousand, nine hundred".