827985060 has 72 divisors (see below), whose sum is σ = 2870352576. Its totient is φ = 189253440.

The previous prime is 827985023. The next prime is 827985077. The reversal of 827985060 is 60589728.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 827984997 and 827985015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327306 + ... + 329825.

It is an arithmetic number, because the mean of its divisors is an integer number (39866008).

Almost surely, 2^827985060 is an apocalyptic number.

It is an amenable number.

827985060 is an abundant number, since it is smaller than the sum of its proper divisors (2042367516).

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

827985060 is a wasteful number, since it uses less digits than its factorization.

827985060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657153 (or 657148 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 827985060 is about 28774.7295382598. The cubic root of 827985060 is about 939.0185395122.

It can be divided in two parts, 8279 and 85060, that added together give a palindrome (93339).

The spelling of 827985060 in words is "eight hundred twenty-seven million, nine hundred eighty-five thousand, sixty".