16008192 has 110 divisors (see below), whose sum is σ = 48051278. Its totient is φ = 5308416.

The previous prime is 16008143. The next prime is 16008193. The reversal of 16008192 is 29180061.

It can be written as a sum of positive squares in only one way, i.e., 11943936 + 4064256 = 3456^2 + 2016^2 .

It is a super-3 number, since 3×16008192³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12 and base 16.

It is not an unprimeable number, because it can be changed into a prime (16008193) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 82848 + ... + 83040.

Almost surely, 2^16008192 is an apocalyptic number.

16008192 is a gapful number since it is divisible by the number (12) 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 16008192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24025639).

16008192 is an abundant number, since it is smaller than the sum of its proper divisors (32043086).

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

16008192 is an equidigital number, since it uses as much as digits as its factorization.

16008192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 16008192 is about 4001.0238689615. The cubic root of 16008192 is about 252.0272079467.

16008192 divided by its product of nonzero digits (864) gives a triangular number (18528 = T₁₉₂).

The spelling of 16008192 in words is "sixteen million, eight thousand, one hundred ninety-two".