896616967680 has 960 divisors, whose sum is σ = 3874337026560. Its totient is φ = 194136735744.

The previous prime is 896616967679. The next prime is 896616967691. The reversal of 896616967680 is 86769616698.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 896616967599 and 896616967608.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 82731222 + ... + 82742058.

It is an arithmetic number, because the mean of its divisors is an integer number (4035767736).

Almost surely, 2^896616967680 is an apocalyptic number.

896616967680 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 896616967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937168513280).

896616967680 is an abundant number, since it is smaller than the sum of its proper divisors (2977720058880).

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

896616967680 is a wasteful number, since it uses less digits than its factorization.

896616967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10901 (or 10873 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 896616967680 in words is "eight hundred ninety-six billion, six hundred sixteen million, nine hundred sixty-seven thousand, six hundred eighty".