16807680 has 108 divisors (see below), whose sum is σ = 58192680. Its totient is φ = 4478976.

The previous prime is 16807649. The next prime is 16807699. The reversal of 16807680 is 8670861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10791 + ... + 12249.

Almost surely, 2^16807680 is an apocalyptic number.

16807680 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 16807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29096340).

16807680 is an abundant number, since it is smaller than the sum of its proper divisors (41385000).

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

16807680 is a wasteful number, since it uses less digits than its factorization.

16807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 16807680 is about 4099.7170634082. The cubic root of 16807680 is about 256.1548542266.

The spelling of 16807680 in words is "sixteen million, eight hundred seven thousand, six hundred eighty".