820206240 has 96 divisors (see below), whose sum is σ = 2952754560. Its totient is φ = 187474944.

The previous prime is 820206229. The next prime is 820206241. The reversal of 820206240 is 42602028.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×820206240² = 1345476552269875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 820206240.

It is not an unprimeable number, because it can be changed into a prime (820206241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118695 + ... + 125414.

It is an arithmetic number, because the mean of its divisors is an integer number (30757860).

Almost surely, 2^820206240 is an apocalyptic number.

820206240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820206240 is an abundant number, since it is smaller than the sum of its proper divisors (2132548320).

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

820206240 is a wasteful number, since it uses less digits than its factorization.

820206240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244134 (or 244126 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 820206240 is about 28639.2430067556. The cubic root of 820206240 is about 936.0686267163.

Adding to 820206240 its reverse (42602028), we get a palindrome (862808268).

The spelling of 820206240 in words is "eight hundred twenty million, two hundred six thousand, two hundred forty".