863064360 has 288 divisors, whose sum is σ = 3075813000. Its totient is φ = 209599488.

The previous prime is 863064359. The next prime is 863064373. The reversal of 863064360 is 63460368.

863064360 is a `hidden beast` number, since 8 + 6 + 3 + 0 + 643 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 831860964 + 31203396 = 28842^2 + 5586^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 3768726 + ... + 3768954.

Almost surely, 2^863064360 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 863064360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537906500).

863064360 is an abundant number, since it is smaller than the sum of its proper divisors (2212748640).

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

863064360 is a wasteful number, since it uses less digits than its factorization.

863064360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 863064360 is about 29377.9570426536. The cubic root of 863064360 is about 952.0967023911.

The spelling of 863064360 in words is "eight hundred sixty-three million, sixty-four thousand, three hundred sixty".