816144 has 60 divisors (see below), whose sum is σ = 2459664. Its totient is φ = 232512.

The previous prime is 816133. The next prime is 816157. The reversal of 816144 is 441618.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a nialpdrome in base 16.

It is an unprimeable number.

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, 2179 + ... + 2525.

2⁸¹⁶¹⁴⁴ is an apocalyptic number.

816144 is a gapful number since it is divisible by the number (84) 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 816144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229832).

816144 is an abundant number, since it is smaller than the sum of its proper divisors (1643520).

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

816144 is a wasteful number, since it uses less digits than its factorization.

816144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 816144 is about 903.4068850745. The cubic root of 816144 is about 93.4520711011.

It can be divided in two parts, 81614 and 4, that added together give a palindrome (81618).

The spelling of 816144 in words is "eight hundred sixteen thousand, one hundred forty-four".