16245200 has 60 divisors (see below), whose sum is σ = 41342220. Its totient is φ = 6113280.

The previous prime is 16245193. The next prime is 16245223. The reversal of 16245200 is 254261.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 309136 + 15936064 = 556^2 + 3992^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5606 + ... + 7994.

It is an arithmetic number, because the mean of its divisors is an integer number (689037).

Almost surely, 2^16245200 is an apocalyptic number.

16245200 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 16245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20671110).

16245200 is an abundant number, since it is smaller than the sum of its proper divisors (25097020).

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

16245200 is a wasteful number, since it uses less digits than its factorization.

16245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 16245200 is about 4030.5334634512. The cubic root of 16245200 is about 253.2649091907.

Adding to 16245200 its reverse (254261), we get a palindrome (16499461).

The spelling of 16245200 in words is "sixteen million, two hundred forty-five thousand, two hundred".