12629664 has 36 divisors (see below), whose sum is σ = 35916426. Its totient is φ = 4209792.

The previous prime is 12629647. The next prime is 12629689. The reversal of 12629664 is 46692621.

It can be written as a sum of positive squares in only one way, i.e., 12194064 + 435600 = 3492^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21639 + ... + 22214.

Almost surely, 2^12629664 is an apocalyptic number.

It is an amenable number.

12629664 is an abundant number, since it is smaller than the sum of its proper divisors (23286762).

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

12629664 is a wasteful number, since it uses less digits than its factorization.

12629664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43869 (or 43858 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12629664 is about 3553.8238560739. The cubic root of 12629664 is about 232.8791455132.

The spelling of 12629664 in words is "twelve million, six hundred twenty-nine thousand, six hundred sixty-four".