890667168 has 96 divisors (see below), whose sum is σ = 2389564800. Its totient is φ = 290411520.

The previous prime is 890667139. The next prime is 890667181. The reversal of 890667168 is 861766098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 890667168.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015146 + ... + 1016022.

It is an arithmetic number, because the mean of its divisors is an integer number (24891300).

Almost surely, 2^890667168 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 890667168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194782400).

890667168 is an abundant number, since it is smaller than the sum of its proper divisors (1498897632).

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

890667168 is a wasteful number, since it uses less digits than its factorization.

890667168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 890667168 is about 29844.0474466852. The cubic root of 890667168 is about 962.1404670096.

The spelling of 890667168 in words is "eight hundred ninety million, six hundred sixty-seven thousand, one hundred sixty-eight".