13009632 has 48 divisors (see below), whose sum is σ = 35335440. Its totient is φ = 4186112.

The previous prime is 13009613. The next prime is 13009639. The reversal of 13009632 is 23690031.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13009639) 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, 448 + ... + 5120.

It is an arithmetic number, because the mean of its divisors is an integer number (736155).

Almost surely, 2^13009632 is an apocalyptic number.

13009632 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 13009632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17667720).

13009632 is an abundant number, since it is smaller than the sum of its proper divisors (22325808).

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

13009632 is a wasteful number, since it uses less digits than its factorization.

13009632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 13009632 is about 3606.8867462120. The cubic root of 13009632 is about 235.1915263734.

Adding to 13009632 its reverse (23690031), we get a palindrome (36699663).

The spelling of 13009632 in words is "thirteen million, nine thousand, six hundred thirty-two".