13632000 has 160 divisors (see below), whose sum is σ = 45961344. Its totient is φ = 3584000.

The previous prime is 13631999. The next prime is 13632013. The reversal of 13632000 is 23631.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 5.

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, 191965 + ... + 192035.

Almost surely, 2^13632000 is an apocalyptic number.

13632000 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 13632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22980672).

13632000 is an abundant number, since it is smaller than the sum of its proper divisors (32329344).

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

13632000 is an frugal number, since it uses more digits than its factorization.

13632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13632000 is about 3692.1538429486. The cubic root of 13632000 is about 238.8837047931.

Adding to 13632000 its reverse (23631), we get a palindrome (13655631).

The spelling of 13632000 in words is "thirteen million, six hundred thirty-two thousand".