890016 has 48 divisors (see below), whose sum is σ = 2386944. Its totient is φ = 290304.

The previous prime is 890011. The next prime is 890027. The reversal of 890016 is 610098.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 890016.

It is not an unprimeable number, because it can be changed into a prime (890011) by changing a digit.

890016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6945 + ... + 7071.

It is an arithmetic number, because the mean of its divisors is an integer number (49728).

2⁸⁹⁰⁰¹⁶ 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 890016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193472).

890016 is an abundant number, since it is smaller than the sum of its proper divisors (1496928).

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

890016 is a wasteful number, since it uses less digits than its factorization.

890016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 890016 is about 943.4065931506. The cubic root of 890016 is about 96.1905935769.

The spelling of 890016 in words is "eight hundred ninety thousand, sixteen".