918822520 has 192 divisors, whose sum is σ = 2762812800. Its totient is φ = 271192320.

The previous prime is 918822503. The next prime is 918822529. The reversal of 918822520 is 25228819.

918822520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×918822520³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 918822520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (918822529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408519 + ... + 410761.

It is an arithmetic number, because the mean of its divisors is an integer number (14389650).

Almost surely, 2^918822520 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 918822520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381406400).

918822520 is an abundant number, since it is smaller than the sum of its proper divisors (1843990280).

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

918822520 is a wasteful number, since it uses less digits than its factorization.

918822520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 918822520 is about 30312.0853786077. The cubic root of 918822520 is about 972.1737201285.

The spelling of 918822520 in words is "nine hundred eighteen million, eight hundred twenty-two thousand, five hundred twenty".