16516864 has 72 divisors (see below), whose sum is σ = 40634720. Its totient is φ = 6524928.

The previous prime is 16516861. The next prime is 16516889. The reversal of 16516864 is 46861561.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16516861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22942 + ... + 23650.

Almost surely, 2^16516864 is an apocalyptic number.

16516864 is a gapful number since it is divisible by the number (14) 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 16516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20317360).

16516864 is an abundant number, since it is smaller than the sum of its proper divisors (24117856).

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

16516864 is an equidigital number, since it uses as much as digits as its factorization.

16516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 731 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 16516864 is about 4064.0944870906. The cubic root of 16516864 is about 254.6688717528.

It can be divided in two parts, 1651 and 6864, that added together give a triangular number (8515 = T₁₃₀).

The spelling of 16516864 in words is "sixteen million, five hundred sixteen thousand, eight hundred sixty-four".