821014320 has 480 divisors, whose sum is σ = 3289075200. Its totient is φ = 165445632.

The previous prime is 821014319. The next prime is 821014333. The reversal of 821014320 is 23410128.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9224836 + ... + 9224924.

It is an arithmetic number, because the mean of its divisors is an integer number (6852240).

Almost surely, 2^821014320 is an apocalyptic number.

821014320 is a gapful number since it is divisible by the number (80) 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 821014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644537600).

821014320 is an abundant number, since it is smaller than the sum of its proper divisors (2468060880).

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

821014320 is a wasteful number, since it uses less digits than its factorization.

821014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 821014320 is about 28653.3474484221. The cubic root of 821014320 is about 936.3759356277.

Adding to 821014320 its reverse (23410128), we get a palindrome (844424448).

The spelling of 821014320 in words is "eight hundred twenty-one million, fourteen thousand, three hundred twenty".