13632320 has 112 divisors (see below), whose sum is σ = 36484560. Its totient is φ = 4816896.

The previous prime is 13632313. The next prime is 13632337. The reversal of 13632320 is 2323631.

It can be written as a sum of positive squares in 8 ways, for example, as 4096576 + 9535744 = 2024^2 + 3088^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13632292 and 13632301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120584 + ... + 120696.

It is an arithmetic number, because the mean of its divisors is an integer number (325755).

Almost surely, 2^13632320 is an apocalyptic number.

13632320 is a gapful number since it is divisible by the number (10) 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 13632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242280).

13632320 is an abundant number, since it is smaller than the sum of its proper divisors (22852240).

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

13632320 is a wasteful number, since it uses less digits than its factorization.

13632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 13632320 is about 3692.1971778333. The cubic root of 13632320 is about 238.8855739780.

Adding to 13632320 its reverse (2323631), we get a palindrome (15955951).

The spelling of 13632320 in words is "thirteen million, six hundred thirty-two thousand, three hundred twenty".