16807980 has 72 divisors (see below), whose sum is σ = 54755568. Its totient is φ = 3841152.

The previous prime is 16807957. The next prime is 16807997. The reversal of 16807980 is 8970861.

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, 82 + ... + 5798.

It is an arithmetic number, because the mean of its divisors is an integer number (760494).

Almost surely, 2^16807980 is an apocalyptic number.

16807980 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 16807980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27377784).

16807980 is an abundant number, since it is smaller than the sum of its proper divisors (37947588).

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

16807980 is a wasteful number, since it uses less digits than its factorization.

16807980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5743 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 16807980 is about 4099.7536511356. The cubic root of 16807980 is about 256.1563782521.

The spelling of 16807980 in words is "sixteen million, eight hundred seven thousand, nine hundred eighty".