918282920 has 64 divisors (see below), whose sum is σ = 2181556800. Its totient is φ = 347876928.

The previous prime is 918282907. The next prime is 918282947. The reversal of 918282920 is 29282819.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 272687 + ... + 276033.

It is an arithmetic number, because the mean of its divisors is an integer number (34086825).

Almost surely, 2^918282920 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 918282920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090778400).

918282920 is an abundant number, since it is smaller than the sum of its proper divisors (1263273880).

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

918282920 is a wasteful number, since it uses less digits than its factorization.

918282920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 918282920 is about 30303.1833311288. The cubic root of 918282920 is about 971.9833722818.

The spelling of 918282920 in words is "nine hundred eighteen million, two hundred eighty-two thousand, nine hundred twenty".