13823800 has 24 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 5529440.

The previous prime is 13823779. The next prime is 13823801. The reversal of 13823800 is 832831.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13823801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34360 + ... + 34759.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 2^13823800 is an apocalyptic number.

13823800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13823800 is an abundant number, since it is smaller than the sum of its proper divisors (18317000).

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

13823800 is a wasteful number, since it uses less digits than its factorization.

13823800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69135 (or 69126 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 13823800 is about 3718.0371165442. The cubic root of 13823800 is about 239.9988425870.

The spelling of 13823800 in words is "thirteen million, eight hundred twenty-three thousand, eight hundred".