820856896 has 28 divisors (see below), whose sum is σ = 1645028460. Its totient is φ = 406361600.

The previous prime is 820856857. The next prime is 820856909. The reversal of 820856896 is 698658028.

It can be written as a sum of positive squares in 2 ways, for example, as 754271296 + 66585600 = 27464^2 + 8160^2 .

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 3 ways as a sum of consecutive naturals, for example, 57031 + ... + 69958.

Almost surely, 2^820856896 is an apocalyptic number.

It is an amenable number.

820856896 is an abundant number, since it is smaller than the sum of its proper divisors (824171564).

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

820856896 is a wasteful number, since it uses less digits than its factorization.

820856896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127102 (or 127092 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The square root of 820856896 is about 28650.6002729437. The cubic root of 820856896 is about 936.3160838629.

The spelling of 820856896 in words is "eight hundred twenty million, eight hundred fifty-six thousand, eight hundred ninety-six".