819936 has 96 divisors (see below), whose sum is σ = 2610720. Its totient is φ = 248832.

The previous prime is 819913. The next prime is 819937. The reversal of 819936 is 639918.

It is a tau number, because it is divible by the number of its divisors (96).

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 a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 819936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819937) by changing a digit.

819936 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 11196 + ... + 11268.

It is an arithmetic number, because the mean of its divisors is an integer number (27195).

2⁸¹⁹⁹³⁶ 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 819936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305360).

819936 is an abundant number, since it is smaller than the sum of its proper divisors (1790784).

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

819936 is a wasteful number, since it uses less digits than its factorization.

819936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 819936 is about 905.5031750358. The cubic root of 819936 is about 93.5965810717.

The spelling of 819936 in words is "eight hundred nineteen thousand, nine hundred thirty-six".