890086016 has 64 divisors (see below), whose sum is σ = 1857150720. Its totient is φ = 424123392.

The previous prime is 890086003. The next prime is 890086019. The reversal of 890086016 is 610680098.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (890086019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1362746 + ... + 1363398.

It is an arithmetic number, because the mean of its divisors is an integer number (29017980).

Almost surely, 2^890086016 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 890086016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928575360).

890086016 is an abundant number, since it is smaller than the sum of its proper divisors (967064704).

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

890086016 is a wasteful number, since it uses less digits than its factorization.

890086016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 890086016 is about 29834.3093769573. The cubic root of 890086016 is about 961.9311589260.

The spelling of 890086016 in words is "eight hundred ninety million, eighty-six thousand, sixteen".