890064 has 60 divisors (see below), whose sum is σ = 2850016. Its totient is φ = 254016.

The previous prime is 890063. The next prime is 890083. The reversal of 890064 is 460098.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567 + ... + 1449.

2⁸⁹⁰⁰⁶⁴ is an apocalyptic number.

890064 is a gapful number since it is divisible by the number (84) 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 890064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425008).

890064 is an abundant number, since it is smaller than the sum of its proper divisors (1959952).

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

890064 is a wasteful number, since it uses less digits than its factorization.

890064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 890064 is about 943.4320325280. The cubic root of 890064 is about 96.1923227838.

The spelling of 890064 in words is "eight hundred ninety thousand, sixty-four".