890640 has 60 divisors (see below), whose sum is σ = 2993484. Its totient is φ = 237312.

The previous prime is 890609. The next prime is 890653. The reversal of 890640 is 46098.

It can be written as a sum of positive squares in 2 ways, for example, as 501264 + 389376 = 708^2 + 624^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102 + ... + 1338.

2⁸⁹⁰⁶⁴⁰ is an apocalyptic number.

890640 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 890640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496742).

890640 is an abundant number, since it is smaller than the sum of its proper divisors (2102844).

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

890640 is a wasteful number, since it uses less digits than its factorization.

890640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1247 counting only the distinct ones).

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

The square root of 890640 is about 943.7372515695. The cubic root of 890640 is about 96.2130684194.

The spelling of 890640 in words is "eight hundred ninety thousand, six hundred forty".