827641660 has 72 divisors (see below), whose sum is σ = 1833367536. Its totient is φ = 313800960.

The previous prime is 827641657. The next prime is 827641663. The reversal of 827641660 is 66146728.

It is an interprime number because it is at equal distance from previous prime (827641657) and next prime (827641663).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827641663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1449175 + ... + 1449745.

It is an arithmetic number, because the mean of its divisors is an integer number (25463438).

Almost surely, 2^827641660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827641660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916683768).

827641660 is an abundant number, since it is smaller than the sum of its proper divisors (1005725876).

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

827641660 is a wasteful number, since it uses less digits than its factorization.

827641660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 827641660 is about 28768.7618781205. The cubic root of 827641660 is about 938.8887048202. Note that the first 3 decimals are identical.

The spelling of 827641660 in words is "eight hundred twenty-seven million, six hundred forty-one thousand, six hundred sixty".