387968560 has 160 divisors (see below), whose sum is σ = 1106929152. Its totient is φ = 123432960.

The previous prime is 387968557. The next prime is 387968561. The reversal of 387968560 is 65869783.

It is a junction number, because it is equal to n+sod(n) for n = 387968498 and 387968507.

It is not an unprimeable number, because it can be changed into a prime (387968561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789915 + ... + 790405.

Almost surely, 2^387968560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387968560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553464576).

387968560 is an abundant number, since it is smaller than the sum of its proper divisors (718960592).

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

387968560 is a wasteful number, since it uses less digits than its factorization.

387968560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The square root of 387968560 is about 19696.9175253388. The cubic root of 387968560 is about 729.3436021163.

The spelling of 387968560 in words is "three hundred eighty-seven million, nine hundred sixty-eight thousand, five hundred sixty".