820834560 has 864 divisors, whose sum is σ = 3749840640. Its totient is φ = 167215104.

The previous prime is 820834549. The next prime is 820834571. The reversal of 820834560 is 65438028.

It is an interprime number because it is at equal distance from previous prime (820834549) and next prime (820834571).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28304626 + ... + 28304654.

Almost surely, 2^820834560 is an apocalyptic number.

820834560 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 820834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874920320).

820834560 is an abundant number, since it is smaller than the sum of its proper divisors (2929006080).

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

820834560 is a wasteful number, since it uses less digits than its factorization.

820834560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 820834560 is about 28650.2104704311. The cubic root of 820834560 is about 936.3075912150.

It can be divided in two parts, 82083 and 4560, that multiplied together give a triangular number (374298480 = T₂₇₃₆₀).

The spelling of 820834560 in words is "eight hundred twenty million, eight hundred thirty-four thousand, five hundred sixty".