867086352 has 120 divisors (see below), whose sum is σ = 2654964000. Its totient is φ = 261987840.

The previous prime is 867086347. The next prime is 867086387. The reversal of 867086352 is 253680768.

867086352 is a `hidden beast` number, since 8 + 6 + 7 + 0 + 8 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 867086298 and 867086307.

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 23 ways as a sum of consecutive naturals, for example, 789868 + ... + 790964.

It is an arithmetic number, because the mean of its divisors is an integer number (22124700).

Almost surely, 2^867086352 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 867086352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327482000).

867086352 is an abundant number, since it is smaller than the sum of its proper divisors (1787877648).

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

867086352 is a wasteful number, since it uses less digits than its factorization.

867086352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 867086352 is about 29446.3300259981. The cubic root of 867086352 is about 953.5733756905.

The spelling of 867086352 in words is "eight hundred sixty-seven million, eighty-six thousand, three hundred fifty-two".