820420608 has 224 divisors, whose sum is σ = 2642250240. Its totient is φ = 221184000.

The previous prime is 820420597. The next prime is 820420621. The reversal of 820420608 is 806024028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3268483 + ... + 3268733.

It is an arithmetic number, because the mean of its divisors is an integer number (11795760).

Almost surely, 2^820420608 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 820420608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321125120).

820420608 is an abundant number, since it is smaller than the sum of its proper divisors (1821829632).

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

820420608 is a wasteful number, since it uses less digits than its factorization.

820420608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 820420608 is about 28642.9853192715. The cubic root of 820420608 is about 936.1501694920.

The spelling of 820420608 in words is "eight hundred twenty million, four hundred twenty thousand, six hundred eight".