823683420 has 144 divisors (see below), whose sum is σ = 2876590080. Its totient is φ = 186876288.

The previous prime is 823683409. The next prime is 823683437. The reversal of 823683420 is 24386328.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172789 + ... + 177491.

It is an arithmetic number, because the mean of its divisors is an integer number (19976320).

Almost surely, 2^823683420 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 823683420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438295040).

823683420 is an abundant number, since it is smaller than the sum of its proper divisors (2052906660).

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

823683420 is a wasteful number, since it uses less digits than its factorization.

823683420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 823683420 is about 28699.8853656247. The cubic root of 823683420 is about 937.3895507215.

The spelling of 823683420 in words is "eight hundred twenty-three million, six hundred eighty-three thousand, four hundred twenty".