820064 has 36 divisors (see below), whose sum is σ = 1881684. Its totient is φ = 350784.

The previous prime is 820051. The next prime is 820067. The reversal of 820064 is 460028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820067) 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 5 ways as a sum of consecutive naturals, for example, 1307 + ... + 1829.

It is an arithmetic number, because the mean of its divisors is an integer number (52269).

2⁸²⁰⁰⁶⁴ 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 820064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940842).

820064 is an abundant number, since it is smaller than the sum of its proper divisors (1061620).

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

820064 is a wasteful number, since it uses less digits than its factorization.

820064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 820064 is about 905.5738512126. The cubic root of 820064 is about 93.6014512644.

It can be divided in two parts, 8200 and 64, that multiplied together give a triangular number (524800 = T₁₀₂₄).

The spelling of 820064 in words is "eight hundred twenty thousand, sixty-four".