12649632 has 96 divisors (see below), whose sum is σ = 36796032. Its totient is φ = 3784704.

The previous prime is 12649619. The next prime is 12649639. The reversal of 12649632 is 23694621.

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

It is a junction number, because it is equal to n+sod(n) for n = 12649593 and 12649602.

It is not an unprimeable number, because it can be changed into a prime (12649639) 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, 37368 + ... + 37704.

It is an arithmetic number, because the mean of its divisors is an integer number (383292).

Almost surely, 2^12649632 is an apocalyptic number.

12649632 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 12649632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398016).

12649632 is an abundant number, since it is smaller than the sum of its proper divisors (24146400).

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

12649632 is a wasteful number, since it uses less digits than its factorization.

12649632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 12649632 is about 3556.6321147962. The cubic root of 12649632 is about 233.0018112798.

The spelling of 12649632 in words is "twelve million, six hundred forty-nine thousand, six hundred thirty-two".