16080 has 40 divisors (see below), whose sum is σ = 50592. Its totient is φ = 4224.

The previous prime is 16073. The next prime is 16087. The reversal of 16080 is 8061.

It is an interprime number because it is at equal distance from previous prime (16073) and next prime (16087).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207 + ... + 273.

2¹⁶⁰⁸⁰ is an apocalyptic number.

16080 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 16080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25296).

16080 is an abundant number, since it is smaller than the sum of its proper divisors (34512).

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

16080 is a wasteful number, since it uses less digits than its factorization.

16080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 16080 is about 126.8069398732. The cubic root of 16080 is about 25.2403485644.

The spelling of 16080 in words is "sixteen thousand, eighty".