820162900 has 36 divisors (see below), whose sum is σ = 1781496220. Its totient is φ = 327744000.

The previous prime is 820162853. The next prime is 820162919. The reversal of 820162900 is 9261028.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 183710916 + 636451984 = 13554^2 + 25228^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 116686 + ... + 123514.

Almost surely, 2^820162900 is an apocalyptic number.

It is an amenable number.

820162900 is an abundant number, since it is smaller than the sum of its proper divisors (961333320).

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

820162900 is a wasteful number, since it uses less digits than its factorization.

820162900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8044 (or 8037 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 820162900 is about 28638.4863426823. The cubic root of 820162900 is about 936.0521390222.

The spelling of 820162900 in words is "eight hundred twenty million, one hundred sixty-two thousand, nine hundred".