16580440 has 64 divisors (see below), whose sum is σ = 40629600. Its totient is φ = 6064128.

The previous prime is 16580419. The next prime is 16580449. The reversal of 16580440 is 4408561.

It is a junction number, because it is equal to n+sod(n) for n = 16580399 and 16580408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16580449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24831 + ... + 25489.

Almost surely, 2^16580440 is an apocalyptic number.

16580440 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 16580440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20314800).

16580440 is an abundant number, since it is smaller than the sum of its proper divisors (24049160).

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

16580440 is a wasteful number, since it uses less digits than its factorization.

16580440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 16580440 is about 4071.9086433760. The cubic root of 16580440 is about 254.9952068816.

It can be divided in two parts, 16580 and 440, that added together give a triangular number (17020 = T₁₈₄).

The spelling of 16580440 in words is "sixteen million, five hundred eighty thousand, four hundred forty".