816192 has 84 divisors (see below), whose sum is σ = 2542540. Its totient is φ = 248832.

The previous prime is 816191. The next prime is 816203. The reversal of 816192 is 291618.

816192 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 484416 = 576^2 + 696^2 .

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

It is a nialpdrome in base 16.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (816191) 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 11 ways as a sum of consecutive naturals, for example, 7434 + ... + 7542.

2⁸¹⁶¹⁹² 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 816192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271270).

816192 is an abundant number, since it is smaller than the sum of its proper divisors (1726348).

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

816192 is a wasteful number, since it uses less digits than its factorization.

816192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

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

The square root of 816192 is about 903.4334507865. The cubic root of 816192 is about 93.4539031354.

The spelling of 816192 in words is "eight hundred sixteen thousand, one hundred ninety-two".