856687104 has 400 divisors, whose sum is σ = 3160922688. Its totient is φ = 224944128.

The previous prime is 856687099. The next prime is 856687109. The reversal of 856687104 is 401786658.

It is a happy number.

856687104 is a `hidden beast` number, since 8 + 566 + 87 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (856687099) and next prime (856687109).

It is a self number, because there is not a number n which added to its sum of digits gives 856687104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856687109) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3773839 + ... + 3774065.

Almost surely, 2^856687104 is an apocalyptic number.

856687104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856687104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580461344).

856687104 is an abundant number, since it is smaller than the sum of its proper divisors (2304235584).

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

856687104 is a wasteful number, since it uses less digits than its factorization.

856687104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 856687104 is about 29269.2176868464. The cubic root of 856687104 is about 949.7458614756.

The spelling of 856687104 in words is "eight hundred fifty-six million, six hundred eighty-seven thousand, one hundred four".