12664032 has 96 divisors (see below), whose sum is σ = 35925120. Its totient is φ = 3893760.

The previous prime is 12664021. The next prime is 12664033. The reversal of 12664032 is 23046621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12663993 and 12664011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12664033) 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, 96607 + ... + 96737.

It is an arithmetic number, because the mean of its divisors is an integer number (374220).

Almost surely, 2^12664032 is an apocalyptic number.

12664032 is a gapful number since it is divisible by the number (12) 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 12664032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17962560).

12664032 is an abundant number, since it is smaller than the sum of its proper divisors (23261088).

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

12664032 is a wasteful number, since it uses less digits than its factorization.

12664032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 12664032 is about 3558.6559260485. The cubic root of 12664032 is about 233.0901920780.

The spelling of 12664032 in words is "twelve million, six hundred sixty-four thousand, thirty-two".