16987680 has 144 divisors (see below), whose sum is σ = 59439744. Its totient is φ = 4416000.

The previous prime is 16987679. The next prime is 16987703. The reversal of 16987680 is 8678961.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67555 + ... + 67805.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 2^16987680 is an apocalyptic number.

16987680 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 16987680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29719872).

16987680 is an abundant number, since it is smaller than the sum of its proper divisors (42452064).

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

16987680 is a wasteful number, since it uses less digits than its factorization.

16987680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 16987680 is about 4121.6113353881. The cubic root of 16987680 is about 257.0660299585.

The spelling of 16987680 in words is "sixteen million, nine hundred eighty-seven thousand, six hundred eighty".