820042272 has 96 divisors (see below), whose sum is σ = 2733494400. Its totient is φ = 234296064.

The previous prime is 820042219. The next prime is 820042273. The reversal of 820042272 is 272240028.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (820042273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61747 + ... + 73842.

It is an arithmetic number, because the mean of its divisors is an integer number (28473900).

Almost surely, 2^820042272 is an apocalyptic number.

It is an amenable number.

820042272 is an abundant number, since it is smaller than the sum of its proper divisors (1913452128).

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

820042272 is a wasteful number, since it uses less digits than its factorization.

820042272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135615 (or 135601 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 820042272 is about 28636.3802181770. The cubic root of 820042272 is about 936.0062458492.

The spelling of 820042272 in words is "eight hundred twenty million, forty-two thousand, two hundred seventy-two".