827560116 has 36 divisors (see below), whose sum is σ = 2098126212. Its totient is φ = 275030784.

The previous prime is 827560109. The next prime is 827560117. The reversal of 827560116 is 611065728.

827560116 is a `hidden beast` number, since 82 + 7 + 560 + 1 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 255872016 + 571688100 = 15996^2 + 23910^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827560117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21975 + ... + 46238.

Almost surely, 2^827560116 is an apocalyptic number.

It is an amenable number.

827560116 is an abundant number, since it is smaller than the sum of its proper divisors (1270566096).

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

827560116 is a wasteful number, since it uses less digits than its factorization.

827560116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68560 (or 68555 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 827560116 is about 28767.3446115557. The cubic root of 827560116 is about 938.8578689086.

The spelling of 827560116 in words is "eight hundred twenty-seven million, five hundred sixty thousand, one hundred sixteen".