918540000 has 540 divisors, whose sum is σ = 3873653784. Its totient is φ = 209952000.

The previous prime is 918539989. The next prime is 918540017. The reversal of 918540000 is 45819.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 131219997 + ... + 131220003.

Almost surely, 2^918540000 is an apocalyptic number.

918540000 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 918540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936826892).

918540000 is an abundant number, since it is smaller than the sum of its proper divisors (2955113784).

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

918540000 is an frugal number, since it uses more digits than its factorization.

918540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 918540000 is about 30307.4248328689. The cubic root of 918540000 is about 972.0740684298.

Adding to 918540000 its reverse (45819), we get a palindrome (918585819).

The spelling of 918540000 in words is "nine hundred eighteen million, five hundred forty thousand".