918900864 has 192 divisors, whose sum is σ = 3200221440. Its totient is φ = 247062528.

The previous prime is 918900863. The next prime is 918900911. The reversal of 918900864 is 468009819.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (918900863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133737 + ... + 140439.

It is an arithmetic number, because the mean of its divisors is an integer number (16667820).

Almost surely, 2^918900864 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 918900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600110720).

918900864 is an abundant number, since it is smaller than the sum of its proper divisors (2281320576).

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

918900864 is a wasteful number, since it uses less digits than its factorization.

918900864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6747 (or 6732 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 918900864 is about 30313.3776409030. The cubic root of 918900864 is about 972.2013503515.

The spelling of 918900864 in words is "nine hundred eighteen million, nine hundred thousand, eight hundred sixty-four".