12629484 has 72 divisors (see below), whose sum is σ = 38088960. Its totient is φ = 3449952.

The previous prime is 12629483. The next prime is 12629527. The reversal of 12629484 is 48492621.

12629484 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12629484² = 319007732212512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

12629484 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12629483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4707 + ... + 6885.

Almost surely, 2^12629484 is an apocalyptic number.

12629484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12629484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19044480).

12629484 is an abundant number, since it is smaller than the sum of its proper divisors (25459476).

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

12629484 is a wasteful number, since it uses less digits than its factorization.

12629484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2214 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12629484 is about 3553.7985311495. The cubic root of 12629484 is about 232.8780391643.

The spelling of 12629484 in words is "twelve million, six hundred twenty-nine thousand, four hundred eighty-four".