827522160 has 160 divisors (see below), whose sum is σ = 2626171200. Its totient is φ = 215506944.

The previous prime is 827522093. The next prime is 827522167. The reversal of 827522160 is 61225728.

827522160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827522167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2610322 + ... + 2610638.

It is an arithmetic number, because the mean of its divisors is an integer number (16413570).

Almost surely, 2^827522160 is an apocalyptic number.

827522160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827522160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313085600).

827522160 is an abundant number, since it is smaller than the sum of its proper divisors (1798649040).

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

827522160 is a wasteful number, since it uses less digits than its factorization.

827522160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 827522160 is about 28766.6848976381. The cubic root of 827522160 is about 938.8435151340.

Adding to 827522160 its reverse (61225728), we get a palindrome (888747888).

The spelling of 827522160 in words is "eight hundred twenty-seven million, five hundred twenty-two thousand, one hundred sixty".