12629472 has 48 divisors (see below), whose sum is σ = 33339600. Its totient is φ = 4186112.

The previous prime is 12629447. The next prime is 12629479. The reversal of 12629472 is 27492621.

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

It is a super-3 number, since 3×12629472³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12629479) 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, 27904 + ... + 28352.

It is an arithmetic number, because the mean of its divisors is an integer number (694575).

Almost surely, 2^12629472 is an apocalyptic number.

12629472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12629472 is an abundant number, since it is smaller than the sum of its proper divisors (20710128).

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

12629472 is a wasteful number, since it uses less digits than its factorization.

12629472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 747 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 12629472 is about 3553.7968428147. The cubic root of 12629472 is about 232.8779654074.

The spelling of 12629472 in words is "twelve million, six hundred twenty-nine thousand, four hundred seventy-two".