16996864 has 40 divisors (see below), whose sum is σ = 34434180. Its totient is φ = 8380416.

The previous prime is 16996853. The next prime is 16996879. The reversal of 16996864 is 46869961.

It can be written as a sum of positive squares in 2 ways, for example, as 16646400 + 350464 = 4080^2 + 592^2 .

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 3 ways as a sum of consecutive naturals, for example, 45382 + ... + 45754.

Almost surely, 2^16996864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17217090).

16996864 is an abundant number, since it is smaller than the sum of its proper divisors (17437316).

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

16996864 is an frugal number, since it uses more digits than its factorization.

16996864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its digits is 559872, while the sum is 49.

The square root of 16996864 is about 4122.7253122176. The cubic root of 16996864 is about 257.1123472326.

The spelling of 16996864 in words is "sixteen million, nine hundred ninety-six thousand, eight hundred sixty-four".