896868000 has 288 divisors, whose sum is σ = 3638718720. Its totient is φ = 204940800.

The previous prime is 896867971. The next prime is 896868017. The reversal of 896868000 is 868698.

896868000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250221 + ... + 253779.

It is an arithmetic number, because the mean of its divisors is an integer number (12634440).

Almost surely, 2^896868000 is an apocalyptic number.

896868000 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 896868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819359360).

896868000 is an abundant number, since it is smaller than the sum of its proper divisors (2741850720).

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

896868000 is a wasteful number, since it uses less digits than its factorization.

896868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 896868000 is about 29947.7545068074. The cubic root of 896868000 is about 964.3681152394.

The spelling of 896868000 in words is "eight hundred ninety-six million, eight hundred sixty-eight thousand".