827107640 has 32 divisors (see below), whose sum is σ = 1872424080. Its totient is φ = 328810752.

The previous prime is 827107609. The next prime is 827107663. The reversal of 827107640 is 46701728.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 827107640.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 56909 + ... + 69948.

Almost surely, 2^827107640 is an apocalyptic number.

It is an amenable number.

827107640 is an abundant number, since it is smaller than the sum of its proper divisors (1045316440).

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

827107640 is a wasteful number, since it uses less digits than its factorization.

827107640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127031 (or 127027 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 827107640 is about 28759.4791329746. The cubic root of 827107640 is about 938.6867280286.

The spelling of 827107640 in words is "eight hundred twenty-seven million, one hundred seven thousand, six hundred forty".