827538160 has 80 divisors (see below), whose sum is σ = 2113436160. Its totient is φ = 299946240.

The previous prime is 827538133. The next prime is 827538161. The reversal of 827538160 is 61835728.

827538160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827538161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23125 + ... + 46795.

It is an arithmetic number, because the mean of its divisors is an integer number (26417952).

Almost surely, 2^827538160 is an apocalyptic number.

827538160 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 827538160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056718080).

827538160 is an abundant number, since it is smaller than the sum of its proper divisors (1285898000).

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

827538160 is a wasteful number, since it uses less digits than its factorization.

827538160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23726 (or 23720 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 827538160 is about 28766.9629957700. The cubic root of 827538160 is about 938.8495658882.

The spelling of 827538160 in words is "eight hundred twenty-seven million, five hundred thirty-eight thousand, one hundred sixty".