906390 has 48 divisors (see below), whose sum is σ = 2450448. Its totient is φ = 241056.

The previous prime is 906383. The next prime is 906391. The reversal of 906390 is 93609.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906391) by changing a digit.

906390 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2244 + ... + 2616.

It is an arithmetic number, because the mean of its divisors is an integer number (51051).

2⁹⁰⁶³⁹⁰ is an apocalyptic number.

906390 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 906390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225224).

906390 is an abundant number, since it is smaller than the sum of its proper divisors (1544058).

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

906390 is a wasteful number, since it uses less digits than its factorization.

906390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 906390 is about 952.0451669958. The cubic root of 906390 is about 96.7768989566.

Adding to 906390 its reverse (93609), we get a palindrome (999999).

It can be divided in two parts, 906 and 390, that added together give a 4-th power (1296 = 6⁴).

The spelling of 906390 in words is "nine hundred six thousand, three hundred ninety".