827607648 has 72 divisors (see below), whose sum is σ = 2527173432. Its totient is φ = 236457984.

The previous prime is 827607623. The next prime is 827607659. The reversal of 827607648 is 846706728.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 827607597 and 827607606.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 83265 + ... + 92672.

It is an arithmetic number, because the mean of its divisors is an integer number (35099631).

Almost surely, 2^827607648 is an apocalyptic number.

It is an amenable number.

827607648 is an abundant number, since it is smaller than the sum of its proper divisors (1699565784).

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

827607648 is a wasteful number, since it uses less digits than its factorization.

827607648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175964 (or 175949 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 827607648 is about 28768.1707447658. The cubic root of 827607648 is about 938.8758434086.

The spelling of 827607648 in words is "eight hundred twenty-seven million, six hundred seven thousand, six hundred forty-eight".