896560320 has 224 divisors, whose sum is σ = 2996598528. Its totient is φ = 226824192.

The previous prime is 896560319. The next prime is 896560333. The reversal of 896560320 is 23065698.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527067 + ... + 1527653.

It is an arithmetic number, because the mean of its divisors is an integer number (13377672).

Almost surely, 2^896560320 is an apocalyptic number.

896560320 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 896560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498299264).

896560320 is an abundant number, since it is smaller than the sum of its proper divisors (2100038208).

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

896560320 is a wasteful number, since it uses less digits than its factorization.

896560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 896560320 is about 29942.6171200849. The cubic root of 896560320 is about 964.2578237514.

The spelling of 896560320 in words is "eight hundred ninety-six million, five hundred sixty thousand, three hundred twenty".