16864920 has 96 divisors (see below), whose sum is σ = 55598400. Its totient is φ = 4432896.

The previous prime is 16864909. The next prime is 16864927. The reversal of 16864920 is 2946861.

16864920 is a `hidden beast` number, since 1 + 6 + 8 + 649 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16864927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28144 + ... + 28736.

It is an arithmetic number, because the mean of its divisors is an integer number (579150).

Almost surely, 2^16864920 is an apocalyptic number.

16864920 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 16864920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27799200).

16864920 is an abundant number, since it is smaller than the sum of its proper divisors (38733480).

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

16864920 is a wasteful number, since it uses less digits than its factorization.

16864920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 16864920 is about 4106.6920994883. The cubic root of 16864920 is about 256.4453105477.

The spelling of 16864920 in words is "sixteen million, eight hundred sixty-four thousand, nine hundred twenty".