896006160 has 360 divisors, whose sum is σ = 3547641240. Its totient is φ = 202051584.

The previous prime is 896006149. The next prime is 896006173. The reversal of 896006160 is 61600698.

896006160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 61027344 + 834978816 = 7812^2 + 28896^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3845404 + ... + 3845636.

It is an arithmetic number, because the mean of its divisors is an integer number (9854559).

Almost surely, 2^896006160 is an apocalyptic number.

896006160 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 896006160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773820620).

896006160 is an abundant number, since it is smaller than the sum of its proper divisors (2651635080).

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

896006160 is a wasteful number, since it uses less digits than its factorization.

896006160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 896006160 is about 29933.3619895928. The cubic root of 896006160 is about 964.0591149621.

The spelling of 896006160 in words is "eight hundred ninety-six million, six thousand, one hundred sixty".