1385006320 has 80 divisors (see below), whose sum is σ = 3441208320. Its totient is φ = 516575232.

The previous prime is 1385006299. The next prime is 1385006323. The reversal of 1385006320 is 236005831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1385006320³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385006323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 143569 + ... + 152911.

It is an arithmetic number, because the mean of its divisors is an integer number (43015104).

Almost surely, 2^1385006320 is an apocalyptic number.

1385006320 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 1385006320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720604160).

1385006320 is an abundant number, since it is smaller than the sum of its proper divisors (2056202000).

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

1385006320 is a wasteful number, since it uses less digits than its factorization.

1385006320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9482 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1385006320 is about 37215.6730424159. The cubic root of 1385006320 is about 1114.6809653839.

The spelling of 1385006320 in words is "one billion, three hundred eighty-five million, six thousand, three hundred twenty".