827860560 has 80 divisors (see below), whose sum is σ = 2717343936. Its totient is φ = 207775744.

The previous prime is 827860531. The next prime is 827860567. The reversal of 827860560 is 65068728.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827860567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97374 + ... + 105533.

Almost surely, 2^827860560 is an apocalyptic number.

827860560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827860560 is an abundant number, since it is smaller than the sum of its proper divisors (1889483376).

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

827860560 is a wasteful number, since it uses less digits than its factorization.

827860560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202940 (or 202934 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 827860560 is about 28772.5661003672. The cubic root of 827860560 is about 938.9714719688.

The spelling of 827860560 in words is "eight hundred twenty-seven million, eight hundred sixty thousand, five hundred sixty".