867863808 has 216 divisors, whose sum is σ = 2967135808. Its totient is φ = 247836672.

The previous prime is 867863783. The next prime is 867863809. The reversal of 867863808 is 808368768.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867863809) 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 23 ways as a sum of consecutive naturals, for example, 434460 + ... + 436452.

Almost surely, 2^867863808 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 867863808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483567904).

867863808 is an abundant number, since it is smaller than the sum of its proper divisors (2099272000).

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

867863808 is an equidigital number, since it uses as much as digits as its factorization.

867863808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 867863808 is about 29459.5283057961. The cubic root of 867863808 is about 953.8582915182.

The spelling of 867863808 in words is "eight hundred sixty-seven million, eight hundred sixty-three thousand, eight hundred eight".