16382080 has 128 divisors (see below), whose sum is σ = 46267200. Its totient is φ = 5468160.

The previous prime is 16382063. The next prime is 16382087. The reversal of 16382080 is 8028361.

16382080 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 (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16382087) 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, 91431 + ... + 91609.

Almost surely, 2^16382080 is an apocalyptic number.

16382080 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 16382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23133600).

16382080 is an abundant number, since it is smaller than the sum of its proper divisors (29885120).

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

16382080 is a wasteful number, since it uses less digits than its factorization.

16382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 16382080 is about 4047.4782272422. The cubic root of 16382080 is about 253.9742466708.

The spelling of 16382080 in words is "sixteen million, three hundred eighty-two thousand, eighty".