306990 has 40 divisors (see below), whose sum is σ = 827640. Its totient is φ = 81648.

The previous prime is 306953. The next prime is 306991. The reversal of 306990 is 99603.

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

It is a Curzon number.

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 306990.

It is not an unprimeable number, because it can be changed into a prime (306991) by changing a digit.

306990 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 19 ways as a sum of consecutive naturals, for example, 621 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (20691).

2³⁰⁶⁹⁹⁰ is an apocalyptic number.

306990 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 306990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413820).

306990 is an abundant number, since it is smaller than the sum of its proper divisors (520650).

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

306990 is a wasteful number, since it uses less digits than its factorization.

306990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

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

The square root of 306990 is about 554.0667829784. The cubic root of 306990 is about 67.4592346447.

It can be divided in two parts, 306 and 990, that added together give a 4-th power (1296 = 6⁴).

The spelling of 306990 in words is "three hundred six thousand, nine hundred ninety".