820628960 has 96 divisors (see below), whose sum is σ = 2036301120. Its totient is φ = 311922688.

The previous prime is 820628951. The next prime is 820628971. The reversal of 820628960 is 69826028.

820628960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 635996 + ... + 637284.

It is an arithmetic number, because the mean of its divisors is an integer number (21211470).

Almost surely, 2^820628960 is an apocalyptic number.

820628960 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 820628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018150560).

820628960 is an abundant number, since it is smaller than the sum of its proper divisors (1215672160).

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

820628960 is a wasteful number, since it uses less digits than its factorization.

820628960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 820628960 is about 28646.6221394425. The cubic root of 820628960 is about 936.2294102494.

The spelling of 820628960 in words is "eight hundred twenty million, six hundred twenty-eight thousand, nine hundred sixty".