16468320 has 96 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 3991040.

The previous prime is 16468301. The next prime is 16468321. The reversal of 16468320 is 2386461.

16468320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16468321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3721 + ... + 6839.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^16468320 is an apocalyptic number.

16468320 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 16468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

16468320 is an abundant number, since it is smaller than the sum of its proper divisors (40140960).

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

16468320 is a wasteful number, since it uses less digits than its factorization.

16468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 16468320 is about 4058.1177903062. The cubic root of 16468320 is about 254.4191315069.

The spelling of 16468320 in words is "sixteen million, four hundred sixty-eight thousand, three hundred twenty".