12704064 has 56 divisors (see below), whose sum is σ = 33942528. Its totient is φ = 4193280.

The previous prime is 12704023. The next prime is 12704089. The reversal of 12704064 is 46040721.

12704064 = T₃₈₀ + T₃₈₁ + ... + T₅₀₇.

It is a super-2 number, since 2×12704064² = 322786484232192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24124 + ... + 24644.

Almost surely, 2^12704064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16971264).

12704064 is an abundant number, since it is smaller than the sum of its proper divisors (21238464).

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

12704064 is a wasteful number, since it uses less digits than its factorization.

12704064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 12704064 is about 3564.2760835828. The cubic root of 12704064 is about 233.3355392082.

Adding to 12704064 its reverse (46040721), we get a palindrome (58744785).

The spelling of 12704064 in words is "twelve million, seven hundred four thousand, sixty-four".