16468080 has 80 divisors (see below), whose sum is σ = 51960960. Its totient is φ = 4313344.

The previous prime is 16468073. The next prime is 16468093. The reversal of 16468080 is 8086461.

16468080 is digitally balanced in base 2, because in such base 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 (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13579 + ... + 14741.

It is an arithmetic number, because the mean of its divisors is an integer number (649512).

Almost surely, 2^16468080 is an apocalyptic number.

16468080 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 16468080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25980480).

16468080 is an abundant number, since it is smaller than the sum of its proper divisors (35492880).

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

16468080 is a wasteful number, since it uses less digits than its factorization.

16468080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 16468080 is about 4058.0882198395. The cubic root of 16468080 is about 254.4178955806.

The spelling of 16468080 in words is "sixteen million, four hundred sixty-eight thousand, eighty".