918296064 has 300 divisors, whose sum is σ = 3129041916. Its totient is φ = 259209216.

The previous prime is 918296063. The next prime is 918296083. The reversal of 918296064 is 460692819.

It is a happy number.

918296064 is a `hidden beast` number, since 9 + 18 + 29 + 606 + 4 = 666.

It is a super-3 number, since 3×918296064³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (918296063) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11063767 + ... + 11063849.

Almost surely, 2^918296064 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 918296064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564520958).

918296064 is an abundant number, since it is smaller than the sum of its proper divisors (2210745852).

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

918296064 is an frugal number, since it uses more digits than its factorization.

918296064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 918296064 is about 30303.4002052575. The cubic root of 918296064 is about 971.9880098099.

The spelling of 918296064 in words is "nine hundred eighteen million, two hundred ninety-six thousand, sixty-four".