820285002 has 32 divisors (see below), whose sum is σ = 1823976000. Its totient is φ = 273260304.

The previous prime is 820284947. The next prime is 820285051. The reversal of 820285002 is 200582028.

It is a super-2 number, since 2×820285002² = 1345734969012280008, which contains 22 as substring.

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

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, 109728 + ... + 116964.

It is an arithmetic number, because the mean of its divisors is an integer number (56999250).

Almost surely, 2^820285002 is an apocalyptic number.

820285002 is an abundant number, since it is smaller than the sum of its proper divisors (1003690998).

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

820285002 is a wasteful number, since it uses less digits than its factorization.

820285002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9347 (or 9341 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 820285002 is about 28640.6180450073. The cubic root of 820285002 is about 936.0985883991.

The spelling of 820285002 in words is "eight hundred twenty million, two hundred eighty-five thousand, two".