918128160 has 144 divisors (see below), whose sum is σ = 3145647960. Its totient is φ = 243855360.

The previous prime is 918128149. The next prime is 918128173. The reversal of 918128160 is 61821819.

It can be written as a sum of positive squares in 4 ways, for example, as 570827664 + 347300496 = 23892^2 + 18636^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403506 + ... + 405774.

Almost surely, 2^918128160 is an apocalyptic number.

918128160 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 918128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572823980).

918128160 is an abundant number, since it is smaller than the sum of its proper divisors (2227519800).

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

918128160 is a wasteful number, since it uses less digits than its factorization.

918128160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 918128160 is about 30300.6296964271. The cubic root of 918128160 is about 971.9287658003.

Adding to 918128160 its reverse (61821819), we get a palindrome (979949979).

The spelling of 918128160 in words is "nine hundred eighteen million, one hundred twenty-eight thousand, one hundred sixty".