890032 has 40 divisors (see below), whose sum is σ = 2031120. Its totient is φ = 372480.

The previous prime is 890027. The next prime is 890053. The reversal of 890032 is 230098.

It is a super-2 number, since 2×890032² = 1584313922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 889985 and 890012.

It is a congruent number.

It is an unprimeable number.

890032 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, 2094 + ... + 2482.

It is an arithmetic number, because the mean of its divisors is an integer number (50778).

2⁸⁹⁰⁰³² 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 890032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015560).

890032 is an abundant number, since it is smaller than the sum of its proper divisors (1141088).

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

890032 is a wasteful number, since it uses less digits than its factorization.

890032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 890032 is about 943.4150730193. The cubic root of 890032 is about 96.1911699861.

The spelling of 890032 in words is "eight hundred ninety thousand, thirty-two".