856481976 has 192 divisors, whose sum is σ = 2745600000. Its totient is φ = 241061184.

The previous prime is 856481959. The next prime is 856482001. The reversal of 856481976 is 679184658.

856481976 is a `hidden beast` number, since 8 + 564 + 8 + 1 + 9 + 76 = 666.

It is a super-2 number, since 2×856481976² = 1467122750425729152, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1950765 + ... + 1951203.

It is an arithmetic number, because the mean of its divisors is an integer number (14300000).

Almost surely, 2^856481976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856481976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372800000).

856481976 is an abundant number, since it is smaller than the sum of its proper divisors (1889118024).

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

856481976 is a wasteful number, since it uses less digits than its factorization.

856481976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 530 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 856481976 is about 29265.7133178059. The cubic root of 856481976 is about 949.6700519921.

The spelling of 856481976 in words is "eight hundred fifty-six million, four hundred eighty-one thousand, nine hundred seventy-six".