820165288 has 16 divisors (see below), whose sum is σ = 1538589780. Its totient is φ = 409874688.

The previous prime is 820165279. The next prime is 820165309. The reversal of 820165288 is 882561028.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 803042244 + 17123044 = 28338^2 + 4138^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 820165288.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8545 + ... + 41392.

Almost surely, 2^820165288 is an apocalyptic number.

It is an amenable number.

820165288 is a deficient number, since it is larger than the sum of its proper divisors (718424492).

820165288 is a wasteful number, since it uses less digits than its factorization.

820165288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51996 (or 51992 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 820165288 is about 28638.5280347996. The cubic root of 820165288 is about 936.0530474963.

The spelling of 820165288 in words is "eight hundred twenty million, one hundred sixty-five thousand, two hundred eighty-eight".