867168000 has 216 divisors, whose sum is σ = 3121359696. Its totient is φ = 231168000.

The previous prime is 867167963. The next prime is 867168007. The reversal of 867168000 is 861768.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867168007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286495 + ... + 289505.

Almost surely, 2^867168000 is an apocalyptic number.

867168000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560679848).

867168000 is an abundant number, since it is smaller than the sum of its proper divisors (2254191696).

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

867168000 is a wasteful number, since it uses less digits than its factorization.

867168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 867168000 is about 29447.7163800523. The cubic root of 867168000 is about 953.6033053952.

The spelling of 867168000 in words is "eight hundred sixty-seven million, one hundred sixty-eight thousand".