918552960 has 640 divisors, whose sum is σ = 3732220800. Its totient is φ = 213663744.

The previous prime is 918552907. The next prime is 918552961. The reversal of 918552960 is 69255819.

918552960 is a `hidden beast` number, since 9 + 1 + 8 + 552 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (918552961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19543657 + ... + 19543703.

It is an arithmetic number, because the mean of its divisors is an integer number (5831595).

Almost surely, 2^918552960 is an apocalyptic number.

918552960 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 918552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866110400).

918552960 is an abundant number, since it is smaller than the sum of its proper divisors (2813667840).

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

918552960 is a wasteful number, since it uses less digits than its factorization.

918552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 918552960 is about 30307.6386411083. The cubic root of 918552960 is about 972.0786401852.

It can be divided in two parts, 918 and 552960, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 918552960 in words is "nine hundred eighteen million, five hundred fifty-two thousand, nine hundred sixty".