827326160 has 40 divisors (see below), whose sum is σ = 1924913256. Its totient is φ = 330693120.

The previous prime is 827326153. The next prime is 827326163. The reversal of 827326160 is 61623728.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38390416 + 788935744 = 6196^2 + 28088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 827326160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827326163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146102 + ... + 151658.

Almost surely, 2^827326160 is an apocalyptic number.

827326160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827326160 is an abundant number, since it is smaller than the sum of its proper divisors (1097587096).

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

827326160 is a wasteful number, since it uses less digits than its factorization.

827326160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7431 (or 7425 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 827326160 is about 28763.2779773099. The cubic root of 827326160 is about 938.7693870652.

Adding to 827326160 its reverse (61623728), we get a palindrome (888949888).

The spelling of 827326160 in words is "eight hundred twenty-seven million, three hundred twenty-six thousand, one hundred sixty".