918220320 has 192 divisors, whose sum is σ = 3403088640. Its totient is φ = 230436864.

The previous prime is 918220307. The next prime is 918220339. The reversal of 918220320 is 23022819.

It is a happy number.

It is a super-3 number, since 3×918220320³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67189 + ... + 79691.

It is an arithmetic number, because the mean of its divisors is an integer number (17724420).

Almost surely, 2^918220320 is an apocalyptic number.

918220320 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 918220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701544320).

918220320 is an abundant number, since it is smaller than the sum of its proper divisors (2484868320).

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

918220320 is a wasteful number, since it uses less digits than its factorization.

918220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12544 (or 12530 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 918220320 is about 30302.1504187409. The cubic root of 918220320 is about 971.9612848473.

The spelling of 918220320 in words is "nine hundred eighteen million, two hundred twenty thousand, three hundred twenty".