13675200 has 336 divisors, whose sum is σ = 57448704. Its totient is φ = 2764800.

The previous prime is 13675187. The next prime is 13675201. The reversal of 13675200 is 257631.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×13675200² = 374022190080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13675201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369582 + ... + 369618.

Almost surely, 2^13675200 is an apocalyptic number.

13675200 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 13675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28724352).

13675200 is an abundant number, since it is smaller than the sum of its proper divisors (43773504).

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

13675200 is a wasteful number, since it uses less digits than its factorization.

13675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 13675200 is about 3697.9994591671. Note that the first 3 decimals coincide. The cubic root of 13675200 is about 239.1357806447.

Subtracting from 13675200 its reverse (257631), we obtain a square (13417569 = 3663²).

The spelling of 13675200 in words is "thirteen million, six hundred seventy-five thousand, two hundred".