890120 has 96 divisors (see below), whose sum is σ = 2652480. Its totient is φ = 261120.

The previous prime is 890119. The next prime is 890129. The reversal of 890120 is 21098.

It is a super-2 number, since 2×890120² = 1584627228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 890092 and 890101.

It is not an unprimeable number, because it can be changed into a prime (890129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52352 + ... + 52368.

It is an arithmetic number, because the mean of its divisors is an integer number (27630).

2⁸⁹⁰¹²⁰ 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 890120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326240).

890120 is an abundant number, since it is smaller than the sum of its proper divisors (1762360).

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

890120 is a wasteful number, since it uses less digits than its factorization.

890120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 890120 is about 943.4617109348. The cubic root of 890120 is about 96.1943401133.

The spelling of 890120 in words is "eight hundred ninety thousand, one hundred twenty".