321090 has 64 divisors (see below), whose sum is σ = 967680. Its totient is φ = 66240.

The previous prime is 321077. The next prime is 321091. The reversal of 321090 is 90123.

321090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321090.

It is not an unprimeable number, because it can be changed into a prime (321091) by changing a digit.

321090 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 31 ways as a sum of consecutive naturals, for example, 2241 + ... + 2379.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2³²¹⁰⁹⁰ is an apocalyptic number.

321090 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 321090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

321090 is an abundant number, since it is smaller than the sum of its proper divisors (646590).

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

321090 is a wasteful number, since it uses less digits than its factorization.

321090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 321090 is about 566.6480389095. The cubic root of 321090 is about 68.4766112631.

The spelling of 321090 in words is "three hundred twenty-one thousand, ninety".