13603200 has 192 divisors, whose sum is σ = 48694800. Its totient is φ = 3317760.

The previous prime is 13603199. The next prime is 13603207. The reversal of 13603200 is 230631.

13603200 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13603200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13603207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124746 + ... + 124854.

Almost surely, 2^13603200 is an apocalyptic number.

13603200 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 13603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24347400).

13603200 is an abundant number, since it is smaller than the sum of its proper divisors (35091600).

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

13603200 is a wasteful number, since it uses less digits than its factorization.

13603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

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

The square root of 13603200 is about 3688.2516183146. The cubic root of 13603200 is about 238.7153582223.

Adding to 13603200 its reverse (230631), we get a palindrome (13833831).

It can be divided in two parts, 1360 and 3200, that added together give a triangular number (4560 = T₉₅).

The spelling of 13603200 in words is "thirteen million, six hundred three thousand, two hundred".