918880560 has 240 divisors, whose sum is σ = 3353785344. Its totient is φ = 224114688.

The previous prime is 918880559. The next prime is 918880577. The reversal of 918880560 is 65088819.

918880560 is a `hidden beast` number, since 9 + 1 + 8 + 8 + 80 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 1188334 + ... + 1189106.

Almost surely, 2^918880560 is an apocalyptic number.

918880560 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 918880560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676892672).

918880560 is an abundant number, since it is smaller than the sum of its proper divisors (2434904784).

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

918880560 is a wasteful number, since it uses less digits than its factorization.

918880560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 918880560 is about 30313.0427374093. The cubic root of 918880560 is about 972.1941897236.

The spelling of 918880560 in words is "nine hundred eighteen million, eight hundred eighty thousand, five hundred sixty".