16985280 has 112 divisors (see below), whose sum is σ = 58119264. Its totient is φ = 4177920.

The previous prime is 16985263. The next prime is 16985317. The reversal of 16985280 is 8258961.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11800 + ... + 13160.

It is an arithmetic number, because the mean of its divisors is an integer number (518922).

Almost surely, 2^16985280 is an apocalyptic number.

16985280 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 16985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29059632).

16985280 is an abundant number, since it is smaller than the sum of its proper divisors (41133984).

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

16985280 is a wasteful number, since it uses less digits than its factorization.

16985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 16985280 is about 4121.3201768365. The cubic root of 16985280 is about 257.0539233901.

The spelling of 16985280 in words is "sixteen million, nine hundred eighty-five thousand, two hundred eighty".