867305712 has 320 divisors, whose sum is σ = 2939811840. Its totient is φ = 214106112.

The previous prime is 867305611. The next prime is 867305713. The reversal of 867305712 is 217503768.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867305713) 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 63 ways as a sum of consecutive naturals, for example, 8941248 + ... + 8941344.

It is an arithmetic number, because the mean of its divisors is an integer number (9186912).

Almost surely, 2^867305712 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 867305712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469905920).

867305712 is an abundant number, since it is smaller than the sum of its proper divisors (2072506128).

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

867305712 is a wasteful number, since it uses less digits than its factorization.

867305712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 867305712 is about 29450.0545330565. The cubic root of 867305712 is about 953.6537822222.

The spelling of 867305712 in words is "eight hundred sixty-seven million, three hundred five thousand, seven hundred twelve".