12901632 has 72 divisors (see below), whose sum is σ = 34878816. Its totient is φ = 4233216.

The previous prime is 12901619. The next prime is 12901633. The reversal of 12901632 is 23610921.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12901633) 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, 82098 + ... + 82254.

It is an arithmetic number, because the mean of its divisors is an integer number (484428).

Almost surely, 2^12901632 is an apocalyptic number.

12901632 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 12901632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17439408).

12901632 is an abundant number, since it is smaller than the sum of its proper divisors (21977184).

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

12901632 is a wasteful number, since it uses less digits than its factorization.

12901632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 12901632 is about 3591.8841852153. The cubic root of 12901632 is about 234.5388996862.

The spelling of 12901632 in words is "twelve million, nine hundred one thousand, six hundred thirty-two".