331890 has 64 divisors (see below), whose sum is σ = 919296. Its totient is φ = 76032.

The previous prime is 331889. The next prime is 331897. The reversal of 331890 is 98133.

It is a super-2 number, since 2×331890² = 220301944200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331890.

It is not an unprimeable number, because it can be changed into a prime (331897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8952 + ... + 8988.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2³³¹⁸⁹⁰ is an apocalyptic number.

331890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648).

331890 is an abundant number, since it is smaller than the sum of its proper divisors (587406).

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

331890 is a wasteful number, since it uses less digits than its factorization.

331890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 331890 is about 576.0989498341. The cubic root of 331890 is about 69.2359075009.

It can be divided in two parts, 331 and 890, that added together give a palindrome (1221).

The spelling of 331890 in words is "three hundred thirty-one thousand, eight hundred ninety".