13804200 has 72 divisors (see below), whose sum is σ = 46365150. Its totient is φ = 3680640.

The previous prime is 13804199. The next prime is 13804201. The reversal of 13804200 is 240831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13804199) and next prime (13804201).

It can be written as a sum of positive squares in 3 ways, for example, as 12916836 + 887364 = 3594^2 + 942^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13804201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2035 + ... + 5634.

Almost surely, 2^13804200 is an apocalyptic number.

13804200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13804200 is an abundant number, since it is smaller than the sum of its proper divisors (32560950).

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

13804200 is a wasteful number, since it uses less digits than its factorization.

13804200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7691 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13804200 is about 3715.4003821930. The cubic root of 13804200 is about 239.8853619175.

The spelling of 13804200 in words is "thirteen million, eight hundred four thousand, two hundred".