890960 has 80 divisors (see below), whose sum is σ = 2487936. Its totient is φ = 290304.

The previous prime is 890957. The next prime is 890963. The reversal of 890960 is 69098.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (890957) and next prime (890963).

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20699 + ... + 20741.

2⁸⁹⁰⁹⁶⁰ is an apocalyptic number.

890960 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 890960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243968).

890960 is an abundant number, since it is smaller than the sum of its proper divisors (1596976).

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

890960 is a wasteful number, since it uses less digits than its factorization.

890960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 890960 is about 943.9067750578. The cubic root of 890960 is about 96.2245899078.

The spelling of 890960 in words is "eight hundred ninety thousand, nine hundred sixty".