1366730820 has 480 divisors, whose sum is σ = 5391310848. Its totient is φ = 282175488.

The previous prime is 1366730801. The next prime is 1366730837. The reversal of 1366730820 is 280376631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10761597 + ... + 10761723.

Almost surely, 2^1366730820 is an apocalyptic number.

1366730820 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 1366730820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695655424).

1366730820 is an abundant number, since it is smaller than the sum of its proper divisors (4024580028).

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

1366730820 is a wasteful number, since it uses less digits than its factorization.

1366730820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1366730820 is about 36969.3226878719. The cubic root of 1366730820 is about 1109.7564111211.

The spelling of 1366730820 in words is "one billion, three hundred sixty-six million, seven hundred thirty thousand, eight hundred twenty".