827632560 has 160 divisors (see below), whose sum is σ = 2646705600. Its totient is φ = 213811200.

The previous prime is 827632517. The next prime is 827632669. The reversal of 827632560 is 65236728.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2371266 + ... + 2371614.

It is an arithmetic number, because the mean of its divisors is an integer number (16541910).

Almost surely, 2^827632560 is an apocalyptic number.

827632560 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 827632560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323352800).

827632560 is an abundant number, since it is smaller than the sum of its proper divisors (1819073040).

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

827632560 is a wasteful number, since it uses less digits than its factorization.

827632560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 827632560 is about 28768.6037200278. The cubic root of 827632560 is about 938.8852637502.

The spelling of 827632560 in words is "eight hundred twenty-seven million, six hundred thirty-two thousand, five hundred sixty".