867020768 has 48 divisors (see below), whose sum is σ = 1840663440. Its totient is φ = 400665600.

The previous prime is 867020699. The next prime is 867020773.

It is a happy number.

867020768 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7538 + ... + 42318.

It is an arithmetic number, because the mean of its divisors is an integer number (38347155).

Almost surely, 2^867020768 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 867020768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920331720).

867020768 is an abundant number, since it is smaller than the sum of its proper divisors (973642672).

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

867020768 is a wasteful number, since it uses less digits than its factorization.

867020768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34851 (or 34843 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The square root of 867020768 is about 29445.2163856882. The cubic root of 867020768 is about 953.5493332050.

The spelling of 867020768 in words is "eight hundred sixty-seven million, twenty thousand, seven hundred sixty-eight".