1366120 has 96 divisors (see below), whose sum is σ = 3878280. Its totient is φ = 430080.

The previous prime is 1366117. The next prime is 1366121. The reversal of 1366120 is 216631.

It can be written as a sum of positive squares in 4 ways, for example, as 933156 + 432964 = 966^2 + 658^2 .

It is not an unprimeable number, because it can be changed into a prime (1366121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33300 + ... + 33340.

2^1366120 is an apocalyptic number.

1366120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1366120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939140).

1366120 is an abundant number, since it is smaller than the sum of its proper divisors (2512160).

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

1366120 is a wasteful number, since it uses less digits than its factorization.

1366120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1366120 is about 1168.8113620255. The cubic root of 1366120 is about 110.9591062195.

The spelling of 1366120 in words is "one million, three hundred sixty-six thousand, one hundred twenty".