868224000 has 704 divisors, whose sum is σ = 3678704640. Its totient is φ = 176947200.

The previous prime is 868223971. The next prime is 868224023. The reversal of 868224000 is 422868.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45695991 + ... + 45696009.

Almost surely, 2^868224000 is an apocalyptic number.

868224000 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 868224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839352320).

868224000 is an abundant number, since it is smaller than the sum of its proper divisors (2810480640).

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

868224000 is a wasteful number, since it uses less digits than its factorization.

868224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 868224000 is about 29465.6410077908. The cubic root of 868224000 is about 953.9902341119.

Adding to 868224000 its reverse (422868), we get a palindrome (868646868).

The spelling of 868224000 in words is "eight hundred sixty-eight million, two hundred twenty-four thousand".