870633856 has 32 divisors (see below), whose sum is σ = 1745148600. Its totient is φ = 432635904.

The previous prime is 870633851. The next prime is 870633859. The reversal of 870633856 is 658336078.

870633856 is a nontrivial binomial coefficient, being equal to C(41729, 2).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×870633856² = 1516006622426857472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870633851) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1 + ... + 41728.

Almost surely, 2^870633856 is an apocalyptic number.

870633856 is the 41728-th triangular number.

870633856 is the 13910-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872574300).

870633856 is an abundant number, since it is smaller than the sum of its proper divisors (874514744).

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

870633856 is a wasteful number, since it uses less digits than its factorization.

870633856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41906 (or 41894 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 870633856 is about 29506.5053166247. The cubic root of 870633856 is about 954.8720554453.

The spelling of 870633856 in words is "eight hundred seventy million, six hundred thirty-three thousand, eight hundred fifty-six".