16874880 has 256 divisors, whose sum is σ = 63452160. Its totient is φ = 3768320.

The previous prime is 16874873. The next prime is 16874887. The reversal of 16874880 is 8847861.

It is an interprime number because it is at equal distance from previous prime (16874873) and next prime (16874887).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16874887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359017 + ... + 359063.

It is an arithmetic number, because the mean of its divisors is an integer number (247860).

Almost surely, 2^16874880 is an apocalyptic number.

16874880 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 16874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31726080).

16874880 is an abundant number, since it is smaller than the sum of its proper divisors (46577280).

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

16874880 is a wasteful number, since it uses less digits than its factorization.

16874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 16874880 is about 4107.9045753279. The cubic root of 16874880 is about 256.4957840086.

The spelling of 16874880 in words is "sixteen million, eight hundred seventy-four thousand, eight hundred eighty".