867792016 has 180 divisors, whose sum is σ = 2213286912. Its totient is φ = 322672896.

The previous prime is 867792007. The next prime is 867792059. The reversal of 867792016 is 610297768.

It is a happy number.

867792016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6832945 + ... + 6833071.

Almost surely, 2^867792016 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 867792016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106643456).

867792016 is an abundant number, since it is smaller than the sum of its proper divisors (1345494896).

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

867792016 is a wasteful number, since it uses less digits than its factorization.

867792016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 867792016 is about 29458.3097953701. The cubic root of 867792016 is about 953.8319888955.

The spelling of 867792016 in words is "eight hundred sixty-seven million, seven hundred ninety-two thousand, sixteen".