918864960 has 448 divisors, whose sum is σ = 3428780544. Its totient is φ = 206438400.

The previous prime is 918864959. The next prime is 918865007. The reversal of 918864960 is 69468819.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12941725 + ... + 12941795.

It is an arithmetic number, because the mean of its divisors is an integer number (7653528).

Almost surely, 2^918864960 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 918864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714390272).

918864960 is an abundant number, since it is smaller than the sum of its proper divisors (2509915584).

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

918864960 is a wasteful number, since it uses less digits than its factorization.

918864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 918864960 is about 30312.7854213367. The cubic root of 918864960 is about 972.1886879874.

The spelling of 918864960 in words is "nine hundred eighteen million, eight hundred sixty-four thousand, nine hundred sixty".