16082560 has 64 divisors (see below), whose sum is σ = 41426280. Its totient is φ = 5935104.

The previous prime is 16082519. The next prime is 16082579. The reversal of 16082560 is 6528061.

16082560 = T₄₃₁ + T₄₃₂ + ... + T₅₆₀.

It can be written as a sum of positive squares in 4 ways, for example, as 11451456 + 4631104 = 3384^2 + 2152^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7354 + ... + 9286.

Almost surely, 2^16082560 is an apocalyptic number.

16082560 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 16082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20713140).

16082560 is an abundant number, since it is smaller than the sum of its proper divisors (25343720).

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

16082560 is a wasteful number, since it uses less digits than its factorization.

16082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 16082560 is about 4010.3067214367. The cubic root of 16082560 is about 252.4168794797.

The spelling of 16082560 in words is "sixteen million, eighty-two thousand, five hundred sixty".