12964710 has 64 divisors (see below), whose sum is σ = 35956224. Its totient is φ = 2956800.

The previous prime is 12964697. The next prime is 12964717. The reversal of 12964710 is 1746921.

It is a happy number.

It is a super-3 number, since 3×12964710³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12964717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4455 + ... + 6765.

It is an arithmetic number, because the mean of its divisors is an integer number (561816).

Almost surely, 2^12964710 is an apocalyptic number.

12964710 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 12964710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17978112).

12964710 is an abundant number, since it is smaller than the sum of its proper divisors (22991514).

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

12964710 is a wasteful number, since it uses less digits than its factorization.

12964710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 12964710 is about 3600.6541072422. The cubic root of 12964710 is about 234.9205103116.

Subtracting from 12964710 its product of nonzero digits (3024), we obtain a triangular number (12961686 = T₅₀₉₁).

It can be divided in two parts, 1296 and 4710, that added together give a palindrome (6006).

The spelling of 12964710 in words is "twelve million, nine hundred sixty-four thousand, seven hundred ten".