916306560 has 256 divisors, whose sum is σ = 3495744000. Its totient is φ = 225497088.

The previous prime is 916306541. The next prime is 916306577. The reversal of 916306560 is 65603619.

916306560 is a `hidden beast` number, since 91 + 6 + 3 + 0 + 6 + 560 = 666.

916306560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222601 + ... + 226679.

It is an arithmetic number, because the mean of its divisors is an integer number (13655250).

Almost surely, 2^916306560 is an apocalyptic number.

916306560 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 916306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747872000).

916306560 is an abundant number, since it is smaller than the sum of its proper divisors (2579437440).

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

916306560 is a wasteful number, since it uses less digits than its factorization.

916306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 916306560 is about 30270.5559909295. Note that the first 3 decimals coincide. The cubic root of 916306560 is about 971.2855594381.

The spelling of 916306560 in words is "nine hundred sixteen million, three hundred six thousand, five hundred sixty".