1966288 has 20 divisors (see below), whose sum is σ = 4034340. Its totient is φ = 925184.

The previous prime is 1966259. The next prime is 1966297. The reversal of 1966288 is 8826691.

1966288 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 1827904 + 138384 = 1352^2 + 372^2 .

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 1966288.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3343 + ... + 3886.

It is an arithmetic number, because the mean of its divisors is an integer number (201717).

2^1966288 is an apocalyptic number.

It is an amenable number.

1966288 is an abundant number, since it is smaller than the sum of its proper divisors (2068052).

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

1966288 is a wasteful number, since it uses less digits than its factorization.

1966288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7254 (or 7248 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 1966288 is about 1402.2439160146. The cubic root of 1966288 is about 125.2801821810.

It can be divided in two parts, 1 and 966288, that added together give a square (966289 = 983²).

The spelling of 1966288 in words is "one million, nine hundred sixty-six thousand, two hundred eighty-eight".