918385920 has 216 divisors, whose sum is σ = 3288285000. Its totient is φ = 236371968.

The previous prime is 918385913. The next prime is 918385933. The reversal of 918385920 is 29583819.

It is a happy number.

918385920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12616704 + 905769216 = 3552^2 + 30096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332706 + ... + 335454.

Almost surely, 2^918385920 is an apocalyptic number.

918385920 is a gapful number since it is divisible by the number (90) 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 918385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644142500).

918385920 is an abundant number, since it is smaller than the sum of its proper divisors (2369899080).

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

918385920 is a wasteful number, since it uses less digits than its factorization.

918385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 918385920 is about 30304.8827748929. The cubic root of 918385920 is about 972.0197120424.

The spelling of 918385920 in words is "nine hundred eighteen million, three hundred eighty-five thousand, nine hundred twenty".