12429564 has 48 divisors (see below), whose sum is σ = 33616128. Its totient is φ = 3500928.

The previous prime is 12429563. The next prime is 12429569. The reversal of 12429564 is 46592421.

It is a super-2 number, since 2×12429564² = 308988122460192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12429563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5119 + ... + 7145.

It is an arithmetic number, because the mean of its divisors is an integer number (700336).

Almost surely, 2^12429564 is an apocalyptic number.

12429564 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 12429564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16808064).

12429564 is an abundant number, since it is smaller than the sum of its proper divisors (21186564).

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

12429564 is a wasteful number, since it uses less digits than its factorization.

12429564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2112 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 12429564 is about 3525.5586791316. The cubic root of 12429564 is about 231.6427070667.

The spelling of 12429564 in words is "twelve million, four hundred twenty-nine thousand, five hundred sixty-four".