868287168 has 224 divisors, whose sum is σ = 3045073920. Its totient is φ = 237219840.

The previous prime is 868287149. The next prime is 868287209. The reversal of 868287168 is 861782868.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×868287168² = 1507845212226920448, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276648 + ... + 279768.

It is an arithmetic number, because the mean of its divisors is an integer number (13594080).

Almost surely, 2^868287168 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 868287168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522536960).

868287168 is an abundant number, since it is smaller than the sum of its proper divisors (2176786752).

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

868287168 is a wasteful number, since it uses less digits than its factorization.

868287168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3156 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 868287168 is about 29466.7128808084. The cubic root of 868287168 is about 954.0133695369.

The spelling of 868287168 in words is "eight hundred sixty-eight million, two hundred eighty-seven thousand, one hundred sixty-eight".