918489960 has 96 divisors (see below), whose sum is σ = 3014767080. Its totient is φ = 242496000.

The previous prime is 918489953. The next prime is 918489967. The reversal of 918489960 is 69984819.

It is an interprime number because it is at equal distance from previous prime (918489953) and next prime (918489967).

It can be written as a sum of positive squares in 4 ways, for example, as 792197316 + 126292644 = 28146^2 + 11238^2 .

It is a junction number, because it is equal to n+sod(n) for n = 918489897 and 918489906.

It is not an unprimeable number, because it can be changed into a prime (918489967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23730 + ... + 48990.

Almost surely, 2^918489960 is an apocalyptic number.

918489960 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 918489960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507383540).

918489960 is an abundant number, since it is smaller than the sum of its proper divisors (2096277120).

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

918489960 is a wasteful number, since it uses less digits than its factorization.

918489960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25379 (or 25372 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 918489960 is about 30306.5992813446. The cubic root of 918489960 is about 972.0564159705.

The spelling of 918489960 in words is "nine hundred eighteen million, four hundred eighty-nine thousand, nine hundred sixty".