921856000 has 192 divisors, whose sum is σ = 2486287440. Its totient is φ = 339148800.

The previous prime is 921855917. The next prime is 921856007. The reversal of 921856000 is 658129.

It can be written as a sum of positive squares in 8 ways, for example, as 34292736 + 887563264 = 5856^2 + 29792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (921856007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3327862 + ... + 3328138.

Almost surely, 2^921856000 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 921856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243143720).

921856000 is an abundant number, since it is smaller than the sum of its proper divisors (1564431440).

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

921856000 is a wasteful number, since it uses less digits than its factorization.

921856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 921856000 is about 30362.0816150672. The cubic root of 921856000 is about 973.2424176460.

The spelling of 921856000 in words is "nine hundred twenty-one million, eight hundred fifty-six thousand".