13201632 has 72 divisors (see below), whose sum is σ = 39194064. Its totient is φ = 4207104.

The previous prime is 13201579. The next prime is 13201633. The reversal of 13201632 is 23610231.

13201632 is a `hidden beast` number, since 1 + 32 + 0 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5628 + ... + 7620.

It is an arithmetic number, because the mean of its divisors is an integer number (544362).

Almost surely, 2^13201632 is an apocalyptic number.

13201632 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 13201632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19597032).

13201632 is an abundant number, since it is smaller than the sum of its proper divisors (25992432).

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

13201632 is a wasteful number, since it uses less digits than its factorization.

13201632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13201632 is about 3633.4050145834. The cubic root of 13201632 is about 236.3428894826.

Adding to 13201632 its reverse (23610231), we get a palindrome (36811863).

The spelling of 13201632 in words is "thirteen million, two hundred one thousand, six hundred thirty-two".