12749664 has 48 divisors (see below), whose sum is σ = 34050240. Its totient is φ = 4176000.

The previous prime is 12749663. The next prime is 12749689. The reversal of 12749664 is 46694721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×12749664² = 325107864225792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12749663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4539 + ... + 6789.

It is an arithmetic number, because the mean of its divisors is an integer number (709380).

Almost surely, 2^12749664 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 12749664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17025120).

12749664 is an abundant number, since it is smaller than the sum of its proper divisors (21300576).

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

12749664 is a wasteful number, since it uses less digits than its factorization.

12749664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2315 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 12749664 is about 3570.6671645506. The cubic root of 12749664 is about 233.6143842397.

The spelling of 12749664 in words is "twelve million, seven hundred forty-nine thousand, six hundred sixty-four".