825600164 has 24 divisors (see below), whose sum is σ = 1455903288. Its totient is φ = 409640960.

The previous prime is 825600163. The next prime is 825600173. The reversal of 825600164 is 461006528.

It can be written as a sum of positive squares in 4 ways, for example, as 501312100 + 324288064 = 22390^2 + 18008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 825600164.

It is not an unprimeable number, because it can be changed into a prime (825600163) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 299834 + ... + 302574.

It is an arithmetic number, because the mean of its divisors is an integer number (60662637).

Almost surely, 2^825600164 is an apocalyptic number.

It is an amenable number.

825600164 is a deficient number, since it is larger than the sum of its proper divisors (630303124).

825600164 is a wasteful number, since it uses less digits than its factorization.

825600164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 825600164 is about 28733.2588475446. The cubic root of 825600164 is about 938.1161016676.

The spelling of 825600164 in words is "eight hundred twenty-five million, six hundred thousand, one hundred sixty-four".