920380068 has 72 divisors (see below), whose sum is σ = 2477894328. Its totient is φ = 287044608.

The previous prime is 920380067. The next prime is 920380073. The reversal of 920380068 is 860083029.

It can be written as a sum of positive squares in 4 ways, for example, as 212926464 + 707453604 = 14592^2 + 26598^2 .

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

It is not an unprimeable number, because it can be changed into a prime (920380063) 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 23 ways as a sum of consecutive naturals, for example, 101530 + ... + 110222.

It is an arithmetic number, because the mean of its divisors is an integer number (34415199).

Almost surely, 2^920380068 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 920380068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238947164).

920380068 is an abundant number, since it is smaller than the sum of its proper divisors (1557514260).

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

920380068 is a wasteful number, since it uses less digits than its factorization.

920380068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 920380068 is about 30337.7663647145. The cubic root of 920380068 is about 972.7227388996.

The spelling of 920380068 in words is "nine hundred twenty million, three hundred eighty thousand, sixty-eight".