827363520 has 84 divisors (see below), whose sum is σ = 2845795680. Its totient is φ = 220629504.

The previous prime is 827363501. The next prime is 827363527. The reversal of 827363520 is 25363728.

827363520 is a `hidden beast` number, since 8 + 2 + 73 + 63 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (827363527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140760 + ... + 146519.

It is an arithmetic number, because the mean of its divisors is an integer number (33878520).

Almost surely, 2^827363520 is an apocalyptic number.

827363520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827363520 is an abundant number, since it is smaller than the sum of its proper divisors (2018432160).

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

827363520 is a wasteful number, since it uses less digits than its factorization.

827363520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287302 (or 287289 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 827363520 is about 28763.9274091700. The cubic root of 827363520 is about 938.7835176859.

The spelling of 827363520 in words is "eight hundred twenty-seven million, three hundred sixty-three thousand, five hundred twenty".