896007168 has 528 divisors, whose sum is σ = 3372145920. Its totient is φ = 222953472.

The previous prime is 896007137. The next prime is 896007199. The reversal of 896007168 is 861700698.

It is a happy number.

896007168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (896007137) and next prime (896007199).

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, 20837355 + ... + 20837397.

It is an arithmetic number, because the mean of its divisors is an integer number (6386640).

Almost surely, 2^896007168 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 896007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686072960).

896007168 is an abundant number, since it is smaller than the sum of its proper divisors (2476138752).

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

896007168 is a wasteful number, since it uses less digits than its factorization.

896007168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 896007168 is about 29933.3788269884. The cubic root of 896007168 is about 964.0594764817.

The spelling of 896007168 in words is "eight hundred ninety-six million, seven thousand, one hundred sixty-eight".