13395200 has 216 divisors, whose sum is σ = 42580608. Its totient is φ = 4055040.

The previous prime is 13395199. The next prime is 13395203. The reversal of 13395200 is 259331.

It is a happy number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13395203) 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, 582389 + ... + 582411.

Almost surely, 2^13395200 is an apocalyptic number.

13395200 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 13395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21290304).

13395200 is an abundant number, since it is smaller than the sum of its proper divisors (29185408).

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

13395200 is a wasteful number, since it uses less digits than its factorization.

13395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 13395200 is about 3659.9453547833. The cubic root of 13395200 is about 237.4924097297.

The spelling of 13395200 in words is "thirteen million, three hundred ninety-five thousand, two hundred".