13823700 has 144 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3248000.

The previous prime is 13823627. The next prime is 13823717. The reversal of 13823700 is 732831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194665 + ... + 194735.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 2^13823700 is an apocalyptic number.

13823700 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 13823700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

13823700 is an abundant number, since it is smaller than the sum of its proper divisors (31173420).

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

13823700 is a wasteful number, since it uses less digits than its factorization.

13823700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13823700 is about 3718.0236685637. The cubic root of 13823700 is about 239.9982638763.

The spelling of 13823700 in words is "thirteen million, eight hundred twenty-three thousand, seven hundred".