16344000 has 168 divisors, whose sum is σ = 58722768. Its totient is φ = 4339200.

The previous prime is 16343993. The next prime is 16344017. The reversal of 16344000 is 44361.

16344000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71887 + ... + 72113.

Almost surely, 2^16344000 is an apocalyptic number.

16344000 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 16344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29361384).

16344000 is an abundant number, since it is smaller than the sum of its proper divisors (42378768).

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

16344000 is a wasteful number, since it uses less digits than its factorization.

16344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 16344000 is about 4042.7713267015. The cubic root of 16344000 is about 253.7773070340. Note that the first 3 decimals are identical.

Adding to 16344000 its reverse (44361), we get a palindrome (16388361).

The spelling of 16344000 in words is "sixteen million, three hundred forty-four thousand".