820071084 has 48 divisors (see below), whose sum is σ = 2301958400. Its totient is φ = 221973696.

The previous prime is 820071079. The next prime is 820071097. The reversal of 820071084 is 480170028.

It is an unprimeable number.

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, 255319 + ... + 258510.

Almost surely, 2^820071084 is an apocalyptic number.

820071084 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

820071084 is an abundant number, since it is smaller than the sum of its proper divisors (1481887316).

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

820071084 is a wasteful number, since it uses less digits than its factorization.

820071084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513862 (or 513860 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 820071084 is about 28636.8832801337. The cubic root of 820071084 is about 936.0172078435.

The spelling of 820071084 in words is "eight hundred twenty million, seventy-one thousand, eighty-four".