16164864 has 72 divisors (see below), whose sum is σ = 46740330. Its totient is φ = 5382144.

The previous prime is 16164859. The next prime is 16164871. The reversal of 16164864 is 46846161.

16164864 is a `hidden beast` number, since 1 + 6 + 1 + 648 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 4875264 = 3360^2 + 2208^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×16164864² = 522605656276992, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17994 + ... + 18870.

Almost surely, 2^16164864 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 16164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23370165).

16164864 is an abundant number, since it is smaller than the sum of its proper divisors (30575466).

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

16164864 is an equidigital number, since it uses as much as digits as its factorization.

16164864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 882 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 16164864 is about 4020.5551855434. Note that the first 3 decimals coincide. The cubic root of 16164864 is about 252.8467360048.

It can be divided in two parts, 161 and 64864, that added together give a square (65025 = 255²).

The spelling of 16164864 in words is "sixteen million, one hundred sixty-four thousand, eight hundred sixty-four".